Review for Test Chapter 2

Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:

a. The domain and the range

b. The intercepts, if any

c. Any symmetry with respect to the x-axis, the y-axis or the origin.

• Not a function

Sketch the graph of each function.

 $f\left(x\right)=x^3$  

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Write the function whose graph is the graph of  $y=x^3$ : Shifted down 4 units.

•  $y=x^3-4$  

•  $y=-x^3$  

•  $y=4x^3$  

•  $y=\left(\frac{1}{4}x\right)^3$  

(a) Find the domain of each function

(b) Locate any intercepts

(c) Graph each function (Graph the function in the piece of paper given)

(d) Based on the graph, find the range

(e) Is f continuous on its domain?

Determine whether the equation defines y as a function of x:  $y=x^3$  

• Yes

• No