Functions (59 problems)

Give the center of the circle with equation

: The domain of the functionis . Find the range.

Find an equation for the line with y-intercept 3 that is perpendicular to the line.

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Find the inverse of the function f(x) =

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Is the following a relation or a function?

(1, 2), (2, 3), (2, 5), (2, 7)

If , find

Find (f g) (6)

Given f(x) =5x+7 and g(x) = x + 7, find (g f) (x)

Find the function Simplify your result.

Find a functionand a function g such that

For the graph immediately below, identify the x-intercept and the y-intercept. Write your answers as ordered pairs. (Each square represents one unit.) (No solution check.)

Graph this equation: 2x + y = 6. State the x- and y-intercepts.

The model y = 21x + 150 represents the cost, y, in dollars, of installing carpet, where x = the number of square yards. What is the y-intercept for this model? Describe what the y-intercept represents in terms of the variables in the model. (No solution check.)

Find the equation of the line through points (3, 5) and (8, 15). Write the answer in standard form using only integers.

Find the slope and y-intercept for the line 3x - 4y - 8 = 0

Find the solution for this system of linear inequalities by graphing. Describe the solution set. Do your points checks. (One in each of the four different shaded sections of the graph.)