3. Functions

Determine whether each relation defines a function, and give the domain and range. See Examples 1–4.

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x=y^4

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-6x+4

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x-y<4

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=-√x

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=√(7-2x)

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y=2/(x-3)

Determine the largest open intervals of the domain over which each function is (a) increasing. See Example 9.

Determine the largest open intervals of the domain over which each function is (c) constant. See Example 9.

For each function graphed, give the minimum and maximum values of ƒ(x) and the x-values at which they occur.

For each function graphed, give the minimum and maximum values of ƒ(x) and the x-values at which they occur.

To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=x^2? What is its domain?

To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=x^3? 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?