3. Functions

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.

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

Use a graphing calculator to graph each equation in the standard viewing window. 3x + 4y = 6

Graph each equation. 2x +5y = 20

Graph each equation. 3y = x

Graph each equation. ƒ(x) = x