x2 t04 07 curve sketching - other graphs
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(J) Other Graphse.g. (i) (2003)
The diagram shows the graph of y = f(x)
Draw separate sketches of the graphs of the following;
xf
yi 1
xf
yi 1
1
-1
xf
yi 1
1
-1
xf
yi 1
1
-1
xf
yi 1
1
-1
21
xf
yi 1
1
-1
21
xfxfyii
1
-1
xfxfyii
1
-1
xfxfyii
1
-1
4
xfxfyii
1
-1
4
xfxfyii
1
-1
4
2xfyiii
1
-1
2xfyiii
1
-1
4
2xfyiii
1
-1
4
2xfyiii
1
-1
4
xfeyiv
1
-1
xfeyiv
1
-1
xfexfy
xfeyiv
1
-1
xfexfy i.e. stationary points remain
xfeyiv
1
-1
xfexfy i.e. stationary points remain
2e
xfeyiv
1
-1
xfexfy i.e. stationary points remain
2e
xfeyiv
1
-1
xfexfy i.e. stationary points remain
2e
xfeyiv
1
-1
xfexfy i.e. stationary points remain
2e
xfeyiv
1
-1
xfexfy i.e. stationary points remain
2e
e.g. (ii) (2002)The diagram shows the graph of y = f(x)
Draw separate sketches of the graphs of the following;
xf
yi 1
xf
yi 1
xf
yi 1
xf
yi 1
xf
yi 1
xf
yi 1
xf
yi 1
xf
yi 1
xfyii 2
xfyii 2
xfyii 2
xfyii 2
xfyii 2
xfyiii
xfyiii
xfyiii
xfyiii
xfyiii
xfyiv log
xfyiv log
xfyiv log
xfyiv log
Exercise 1A; 9, 10, 11a, 12
Exercise 1B; 2bd, 9egh, 11ace, 13af, 14abf, 30, 32e, 34
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