3. Functions

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

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

Give a rule for each piecewise-defined function. Also give the domain and range.

Give a rule for each piecewise-defined function. Also give the domain and range.