Functions

Domains

100

Find the domain of the function f(x) = |x+3|

What is All Reals

200

Find the domain of the function f(x) = x^2 + 3

What is All Reals

300

Find the domain of the function f(x) = sqr(x^2 -5)

What is (-infinity, -2) U (2, infinity)

400

Find the domain of the function f(x) = (x+2)/(x^2 - 9)

What is All Reals except x= 3, -3

500

Find the domain of the function f(x) = (x+2)/(sqr(x-3))

What is (3, infinity)

x and y Intercepts

100

Find the x and y intercepts: x – 6y = 2

What is x-intercept: 2 y-intercept: -1/3

200

Find the x and y intercepts: 5x + y = -1

What is x-intercept: -1/5 y-intercept: -1

300

Find the x and y intercepts: y = -3x + 9

What is x-intercept: 3 y-intercept: 9

400

Find the x and y intercepts: 3x-5y=15

What is x-intercept: 5 y-intercept: -3

500

Find the x and y intercepts: 7x + 4y = 56

What is x-intercept: 8 y-intercept: 14

Rational Functions

100

True or false

The domain of the function f(x) = (x+7)/(x² + 3) is all real numbers

True

200

Simplify   (x+1)/ (x² - 1)

1/(x-1)

300

Simlify  [x² - x - 2] / [x - 2]

x+1

400

Simplify (x + 3) / (x² - 9)

1/x-3

500

Find the domain of f(x) = [x² + 3x + 1] / [4x² - 9]

All real numbers Except 3/2, -3/2

Inverse

100

Find the inverse of: y = 4x + 12

What is y = (x/4) - 3

200

Find the inverse of: y = (1/2)x + 7

What is y = 2x - 14

300

Find the inverse of: y = 8x - 16

What is y = (x/8) - 2

400

Find the inverse of: y = (x+2)^3

What is y = cubert(x) - 2

500

Find the inverse of: y = (x+3)/x

What is y = 3/(x-1)

Composition

100

Using f(x)=x-2 and g(x)=5x+3 to find f(g(2))

What is 11

200

Using f(x)=x-2 and g(x)=5x+3 to find g(f(-4))

What is -27

300

Using f(x)=x-2 and g(x)=5x+3 to find f(f(1))

What is -3

400

Using f(x)=x-2 and g(x)=5x+3 to find f(g(x))

What is 5x+1

500

Using f(x)=x^2 and g(x)=x+1 find f(g(x))

What is x^2 + 2x + 1