3. Functions

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. y = -x³

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. y=x²

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. y=-|x+4|

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

Determine whether each relation defines a function, and give the domain and range.

Determine whether each relation defines a function, and give the domain and range.

Determine whether each relation defines a function, and give the domain and range.

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x=y⁴

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. x-y<4

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

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

Determine whether each relation defines y as a function of x. Give the domain and range. 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.