Slow access to apps?  iPhone running slowly?

2 issues I have experienced.
1) Clicking on most apps results in a wait time of 3-4 seconds where the apps used to pop up on the screen.
2) My wife uses her iPhone to preview ads to stores where she shops. Usually you can double tap on the ads to make the image larger and then the image snapped into focus. Now the ads enlarge, but the image looks somewhat pixelated (jagged) - they never quite come into focus enough so she can read them. (Stores like Sears, Fred Meyers).
One good tip I heard elsewhere involves taking snapshots of a screen you might be viewing in Safari (or other apps). Press and hold the menu button (round button on the bottom of the iPhone) and then "snap" the lock button once. The screen will flash briefly and then you can access the image in your iPhone photos.

2 issues I have experienced.
1) Clicking on most apps results in a wait time of 3-4 seconds where the apps used to pop up on the screen.
2) My wife uses her iPhone to preview ads to stores where she shops. Usually you can double tap on the ads to make the image larger and then the image snapped into focus. Now the ads enlarge, but the image looks somewhat pixelated (jagged) - they never quite come into focus enough so she can read them. (Stores like Sears, Fred Meyers).
One good tip I heard elsewhere involves taking snapshots of a screen you might be viewing in Safari (or other apps). Press and hold the menu button (round button on the bottom of the iPhone) and then "snap" the lock button once. The screen will flash briefly and then you can access the image in your iPhone photos.

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      NVIDIA GeForce GT 650M - VRAM: 512 MB
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      "query" => <string: 0x7fbb9b605720> { length = 109, contents = "com_apple_ats_name_postscript == "Roboto-Regular" && kMDItemContentTypeTree != com.adobe.postscript-lwfn-font" }
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        "/Library/Application Support/Apple/Fonts"
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      "query" => <string: 0x7fbb9a41d2e0> { length = 108, contents = "com_apple_ats_name_postscript == "Roboto-Medium" && kMDItemContentTypeTree != com.adobe.postscript-lwfn-font" }
      "restricted" => <bool: 0x7fff7912f320>: true
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      "query" => <string: 0x7fbb9b100580> { length = 107, contents = "com_apple_ats_name_postscript == "Roboto-Light" && kMDItemContentTypeTree != com.adobe.postscript-lwfn-font" }
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    11/16/14 12:36:26.000 PM kernel[0]: memorystatus_thread: idle exiting pid 91752 [SleepServicesD]
    11/16/14 12:36:37.691 PM com.apple.launchd[1]: (com.apple.sleepservicesd[91764]) Exited: Killed: 9
    11/16/14 12:36:38.000 PM kernel[0]: memorystatus_thread: idle exiting pid 91764 [SleepServicesD]
    11/16/14 12:36:48.938 PM com.apple.launchd[1]: (com.apple.sleepservicesd[91777]) Exited: Killed: 9
    11/16/14 12:36:49.000 PM kernel[0]: memorystatus_thread: idle exiting pid 91777 [SleepServicesD]
    11/16/14 12:37:01.000 PM kernel[0]: memorystatus_thread: idle exiting pid 91788 [SleepServicesD]
    11/16/14 12:37:00.821 PM com.apple.launchd[1]: (com.apple.sleepservicesd[91788]) Exited: Killed: 9
    11/16/14 12:37:04.000 PM kernel[0]: memorystatus_thread: idle exiting pid 91706 [distnoted]
    11/16/14 12:37:15.656 PM com.apple.launchd[1]: (com.apple.sleepservicesd[91795]) Exited: Killed: 9
    11/16/14 12:37:15.000 PM kernel[0]: memorystatus_thread: idle exiting pid 91795 [SleepServicesD]
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    35           mds          root          0,2          6          61,2 MB          Intel (64 bits)
    89           WindowServer          _windowserver          1,9          5          53,2 MB          Intel (64 bits)
    252           Flash Player (plug-in de Internet do Safari)          silvanalahutte          0,3          6          27,0 MB          Intel (64 bits)
    275           Monitor de Atividade          silvanalahutte          3,0          4          21,1 MB          Intel (64 bits)
    39           loginwindow          silvanalahutte          0,0          2          20,9 MB          Intel (64 bits)
    60           coreservicesd          root          0,0          4          20,3 MB          Intel (64 bits)
    195           Central de Notificações          silvanalahutte          0,0          3          19,6 MB          Intel (64 bits)
    159           universalaccessd          silvanalahutte          0,0          5          19,4 MB          Intel (64 bits)
    170           SystemUIServer          silvanalahutte          0,0          4          19,3 MB          Intel (64 bits)
    269           mdworker          silvanalahutte          0,2          4          17,9 MB          Intel (64 bits)
    174           Finder          silvanalahutte          0,0          4          16,0 MB          Intel (64 bits)
    222           com.apple.dock.extra          silvanalahutte          0,0          2          14,4 MB          Intel (64 bits)
    203           CalendarAgent          silvanalahutte          0,0          4          13,4 MB          Intel (64 bits)
    251           com.apple.iCloudHelper          silvanalahutte          0,0          7          12,2 MB          Intel (64 bits)
    32           opendirectoryd          root          0,0          8          10,0 MB          Intel (64 bits)
    211           Extensão Captura de Imagem          silvanalahutte          0,0          3          9,4 MB          Intel (64 bits)
    296           com.apple.NotesMigratorService          silvanalahutte          0,0          2          9,4 MB          Intel (64 bits)
    188           HPScanner          silvanalahutte          0,0          3          9,4 MB          Intel (64 bits)
    190           UserEventAgent          silvanalahutte          0,0          3          8,3 MB          Intel (64 bits)
    15           securityd          root          0,0          4          8,2 MB          Intel (64 bits)
    258           AppleSpell.service          silvanalahutte          0,0          2          8,0 MB          Intel (64 bits)
    56           apsd          root          0,0          4          7,2 MB          Intel (64 bits)
    103           aosnotifyd          root          0,0          4          7,2 MB          Intel (64 bits)
    40           locationd          _locationd          0,0          7          7,2 MB          Intel (64 bits)
    137           coreaudiod          _coreaudiod          0,0          4          7,1 MB          Intel (64 bits)
    274           Quick Look Helper          silvanalahutte          0,0          5          7,0 MB          Intel (64 bits)
    126           named          root          0,0          1          7,0 MB          Intel (64 bits)
    172           talagent          silvanalahutte          0,0          2          6,9 MB          Intel (64 bits)
    215           CIJScannerRegister          silvanalahutte          0,0          6          6,1 MB          Intel (64 bits)
    216           xpcd          silvanalahutte          0,0          2          5,8 MB          Intel (64 bits)
    305           mdworker          _spotlight          0,0          3          5,3 MB          Intel (64 bits)
    212           accountsd          silvanalahutte          0,0          2          5,1 MB          Intel (64 bits)
    105           ocspd          root          0,0          4          4,9 MB          Intel (64 bits)
    199           imagent          silvanalahutte          0,0          3          4,6 MB          Intel (64 bits)
    180           xpcd          _coreaudiod          0,0          2          4,4 MB          Intel (64 bits)
    165           fontd          silvanalahutte          0,0          2          4,2 MB          Intel (64 bits)
    183           com.apple.audio.SandboxHelper          _coreaudiod          0,0          2          4,2 MB          Intel (64 bits)
    295           com.apple.hiservices-xpcservice          silvanalahutte          0,0          2          4,1 MB          Intel (64 bits)
    13           taskgated          root          0,0          4          4,0 MB          Intel (64 bits)
    18           configd          root          0,0          7          4,0 MB          Intel (64 bits)
    12           kextd          root          0,0          2          3,9 MB          Intel (64 bits)
    11           UserEventAgent          root          0,0          3          3,8 MB          Intel (64 bits)
    104           socketfilterfw          root          0,0          3          3,3 MB          Intel (64 bits)
    189           usernoted          silvanalahutte          0,0          2          3,3 MB          Intel (64 bits)
    300           CVMCompiler          silvanalahutte          0,0          2          3,2 MB          Intel (64 bits)
    106           rpcsvchost          root          0,0          16          2,8 MB          Intel (64 bits)
    36           mDNSResponder          _mdnsresponder          0,0          3          2,8 MB          Intel (64 bits)
    45           fseventsd          root          0,0          63          2,7 MB          Intel (64 bits)
    123           wifid          root          0,0          2          2,7 MB          Intel (64 bits)
    285           lsboxd          silvanalahutte          0,0          2          2,6 MB          Intel (64 bits)
    50           appleeventsd          _eppc          0,0          2          2,6 MB          Intel (64 bits)
    246           pbs          silvanalahutte          0,0          2          2,6 MB          Intel (64 bits)
    29           revisiond          root          0,0          4          2,6 MB          Intel (64 bits)
    23           usbmuxd          _usbmuxd          0,0          3          2,5 MB          Intel (64 bits)
    187           NetworkBrowserAgent          silvanalahutte          0,0          3          2,5 MB          Intel (64 bits)
    42           InternetSharing          root          0,0          8          2,3 MB          Intel (64 bits)
    73           netbiosd          _netbios          0,0          3          2,2 MB          Intel (64 bits)
    200           helpd          silvanalahutte          0,0          2          2,1 MB          Intel (64 bits)
    186           filecoordinationd          root          0,0          2          2,0 MB          Intel (64 bits)
    202           AppleIDAuthAgent          silvanalahutte          0,0          3          2,0 MB          Intel (64 bits)
    57           distnoted          root          0,0          2          2,0 MB          Intel (64 bits)
    241           printtool          silvanalahutte          0,0          2          1,9 MB          Intel (64 bits)
    220           AirPort Base Station Agent          silvanalahutte          0,0          4          1,8 MB          Intel (64 bits)
    55           autofsd          root          0,0          2          1,8 MB          Intel (64 bits)
    138           logind          root          0,0          2          1,7 MB          Intel (64 bits)
    49           dpd          root          0,0          2          1,7 MB          Intel (64 bits)
    1           launchd          root          0,0          3          1,6 MB          Intel (64 bits)
    44           hidd          root          0,3          3          1,6 MB          Intel (64 bits)
    27           SleepServicesD          root          0,0          2          1,6 MB          Intel (64 bits)
    127           bootpd          root          0,0          1          1,6 MB          Intel (64 bits)
    160           cfprefsd          silvanalahutte          0,0          4          1,6 MB          Intel (64 bits)
    93           CVMServer          root          0,0          2          1,6 MB          Intel (64 bits)
    30           ptmd          root          0,0          2          1,5 MB          Intel (64 bits)
    16           diskarbitrationd          root          0,0          2          1,5 MB          Intel (64 bits)
    63           cfprefsd          root          0,0          4          1,4 MB          Intel (64 bits)
    14           notifyd          root          0,0          3          1,4 MB          Intel (64 bits)
    267           distnoted          _spotlight          0,0          2          1,4 MB          Intel (64 bits)
    155           launchd          silvanalahutte          0,0          2          1,4 MB          Intel (64 bits)
    99           ntpd          root          0,0          2          1,3 MB          Intel (64 bits)
    276           activitymonitord          root          0,8          1          1,3 MB          Intel (64 bits)
    19           syslogd          root          0,0          5          1,3 MB          Intel (64 bits)
    26           stackshot          root          0,0          3          1,1 MB          Intel (64 bits)
    90           networkd          _networkd          0,0          2          1,0 MB          Intel (64 bits)
    41           KernelEventAgent          root          0,0          3          996 KB          Intel (64 bits)
    268           cfprefsd          _spotlight          0,0          2          988 KB          Intel (64 bits)
    182           cfprefsd          _windowserver          0,0          2          960 KB          Intel (64 bits)
    128           natpmpd          root          0,0          1          936 KB          Intel (64 bits)
    301           WebKitPluginAgent          silvanalahutte          0,0          2          932 KB          Intel (64 bits)
    166           pboard          silvanalahutte          0,0          1          932 KB          Intel (64 bits)
    179           launchd          _windowserver          0,0          2          808 KB          Intel (64 bits)
    264           launchd          _spotlight          0,0          2          804 KB          Intel (64 bits)

    With space on the HD.
    Depends on how much free space.
    Right or control click the MacintoshHD icon on your Desktop.
    Click Get Info. In the Get Info window you will see Capacity and Available.
    Make sure there's a minimum of 15% free disk space.

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