3rd Mid Six Weeks Exam: Inverses and Operations of Functions

Front

What does it mean to find the inverse of a function?

Back

The x's and y's are switched.

Front

Back

Front

Evaluate (g∘f)(3) where f(x) = -2x + 2 and g(x) = 2x^2 + 9.

Back

41

Front

Evaluate (f∘g)(2) where f(x) = -2x + 2 and g(x) = 2x^2 + 9.

Back

-32

Front

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)?

Back

(2, 1) (8, 3) (6, -3)

Front

What is the definition of a function?

Back

A relation that assigns exactly one output for each input.

Front

What is the notation for the inverse of a function f?

Back

Front

How do you find the inverse of a function algebraically?

Back

Swap x and y, then solve for y.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for the function.