A sketch of the curve y = f(x) is shown in the diagram. The curve has a vertical asymptote with equation x = −2 and a horizontal asymptote with equation y = 0. The curve crosses the y-axis at (0, 1).

a. Sketch, on separate diagrams, the graphs of:

i. 2f(x) 

ii. f(2x) 

iii. f(x − 2)

iv. f(x) − 1 

v. f(−x) vi −f(x)

In each case state the equations of any asymptotes and, if possible, points where the curve cuts the axes.

b. Suggest a possible equation for f(x).

Transcribed Image Text:

x = −2 = x - - 0 X