3. Functions

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.

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

Find the value of the function for the given value of x. See Example 3. ƒ(x)={5 if 02, for x=5.6

Find the value of the function for the given value of x. See Example 3. ƒ(x)={3 if 04, for x=6.2

Graph each function. Give the domain and range. See Example 3. ƒ(x)=-[[x]]

Graph each function. Give the domain and range. See Example 3. g(x)=[[2x-1]]

Solve each problem. See Example 4. Suppose that the cost of mailing a letter weighing x ounces, where x>0, is ƒ(x)=55-15[[1-x]]cents. What is the cost for the first ounce?

Solve each problem. See Example 4. Suppose that the cost of mailing a letter weighing x ounces, where x>0, is ƒ(x)=55-15[[1-x]]cents. What is the cost of mailing a 2.6-ounce letter?

For each graph, determine whether y is a function of x. Give the domain and range of each relation.

For each graph, determine whether y is a function of x. Give the domain and range of each relation.

For each graph, determine whether y is a function of x. Give the domain and range of each relation.