3. Functions

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. center (0, 0), radius 6

Find the domain of each function. f(x) = √(x - 3)

Find f−g and determine the domain for each function. f(x) = √x, g(x) = x − 4

Fill in the blank to correctly complete each sentence. The point (4,_____ ) lies on the graph of the equation y = 3x - 6.

Find fg and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1

Find ƒ+g and determine the domain for each function. f(x) = √x, g(x) = x − 4

Fill in the blank(s) to correctly complete each sentence. The circle with center (3, 6) and radius 4 has equation _________.

Find the midpoint of each line segment with the given endpoints. (-2, -8) and (−6, −2)

Find f/g and determine the domain for each function. f(x) = x -5, g(x) = 3x²

Let ƒ(x)=-3x+4 and g(x)=-x²+4x+1. Find each of the following. Simplify if necessary. g(-1/4)

Find the midpoint of each line segment with the given endpoints. (6, 8) and (2, 4)

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

Determine whether each function is even, odd, or neither. ƒ(x)=x+1/x⁵

Determine whether each relation defines a function.

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?