3. Functions

To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=x³? What is its range?

To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=|x|? What is the function value when x=1.5?

To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=∛x? Is there any open interval over which the function is decreasing?

To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=√x? What is its domain?

Determine the intervals of the domain over which each function is continuous. See Example 1.

Determine the intervals of the domain over which each function is continuous. See Example 1.

Determine the intervals of the domain over which each function is continuous. See Example 1.

Determine the intervals of the domain over which each function is continuous. See Example 1.

Determine the intervals of the domain over which each function is continuous. See Example 1.

Graph each piecewise-defined function. See Example 2. ƒ(x)={x-1 if x≤3, 2 if x>3

Graph each piecewise-defined function. See Example 2. ƒ(x)={4-x if x<2, 1+2x if x≥2

Graph each piecewise-defined function. See Example 2. ƒ(x)={2x+1 if x≥0, x if x<0

Graph each piecewise-defined function. See Example 2. ƒ(x)={-3 if x≤1, -1 if x>1

Graph each piecewise-defined function. See Example 2. ƒ(x)={-2x if x<-3, 3x-1 if -3≤x≤2, -4x if x>2

Graph each piecewise-defined function. See Example 2. ƒ(x)={x^3+5 if x≤0, -x^2 if x<0