Graphing


In Exercises 69–76, graph each function not by plotting points, but by starting with the graph of one of the standard functions presented in Figures 1.14–1.17 and applying an appropriate transformation.


y = (1/2x) − 1

Graph the functions in Exercises 37–56.

y = |x − 2|

Graph the functions in Exercises 37–56.

y = (x + 1)²/³

Graph the functions in Exercises 37–56.

y = (x + 2)³/² + 1

Graph the functions in Exercises 37–56.

y = (1/x²) − 1

Graphing

In Exercises 69–76, graph each function not by plotting points, but by starting with the graph of one of the standard functions presented in Figures 1.14–1.17 and applying an appropriate transformation.

y = (−2x)²/³

The accompanying figure shows the graph of a function f(x) with domain [0,2] and range [0,1]. Find the domains and ranges of the following functions, and sketch their graphs.

<IMAGE>

c. 2f(x)

Graph the function y = √|x|.

How do you obtain the graph of $y=f\left(x+2\right)$ from the graph of $y=f\left(x\right)$?