3. Functions

Determine whether the three points are collinear. (-7,4),(6,-2),(-1,1)

Complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. x² + y²+6x+2y+6 = 0

In Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = 2/(x+3), g(x) = 1/x

Choose the correct answer: For function ƒ, the notation ƒ(3) means

A. the variable f times 3, or 3f.

B. the value of the dependent variable when the independent variable is 3.

C. the value of the independent variable when the dependent variable is 3.

D. f equals 3.

To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=x³? What is its range?

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

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. y=√(x-3)

Find the domain of each function. f(x) = 1/(x+7) + 3/(x-9)

Is the equation $y^2+2x=10$ a function? If so, rewrite it in function notation and evaluate at $f\(\left\)(-1\(\right\))$.

Find ƒ-g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x

Find the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. A(-6, 3), B(-6,8)

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

Find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)

Find the domain of each function. f(x) = √(5x+35)

Write the standard form of the equation of the circle with the given center and radius. Center (-1, 4), r = 2