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.

Expand

Expand

Find the inverse of the function f(x) =

Expand

Expand

Is the following a relation or a function?

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

If , find

Find the function Simplify your result.

Find a functionand a function g such that

Find (f g) (6)

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

Write the equation y = 3x – 5 in standard form using only integers.

Find the equation of the line through (-2, 3) with slope –½. Write it in slope-intercept form. Graph the equation. Don’t forget your solution check.

Find the slope of the line that goes through the points (2, 5), (6, 10). Check your answer by using y – y₁ = m(x – x₁) where m is your slope, and (x, y) and (x₁, y₁) are your two given points.

Write this equation in standard form, then write it in point-slope form: 2x = 3y + 9. Check your work by graphing all three equations on the same graph. (You should have one line showing after having graphed the three equations, since they are all the same line. (Note, you don’t need to do a solution check other than the graph.)

Calculate the slope of the line passing through these two points: (-7, 4) and (-3, 2). (No solution check.)

Find the equation of the line through (-5/3, -1) and (-1/3, -5). Write it in slope-intercept form. Check your results by substituting the two original points into your slope-intercept equation.