Unit 08 Inverse Functions Exam

Front

What is the line of reflection for inverse functions?

Back

The inverse of a function is reflected over the line y = x.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse, switch x and y in the equation and solve for y.

Front

What is the inverse of f(x) = -4x - 12?

Back

f^-1(x) = -1/4x - 3.

Front

If f(x) passes through (1, 4) and (4, 6), what points does f^-1(x) pass through?

Back

f^-1(x) passes through (4, 1) and (6, 4).

Front

Which statement is NOT TRUE about inverse functions?

Back

The domain of a function always becomes the domain of its inverse.

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function.

Front

If f(x) = 3x + 5, what is f^-1(x)?

Back

f^-1(x) = (x - 5)/3.

Front

What is the relationship between the domain of a function and the range of its inverse?

Back

The domain of a function becomes the range of its inverse.

Front

How can you verify if two functions are inverses of each other?

Back

If f(f^-1(x)) = x and f^-1(f(x)) = x, they are inverses.

Front

What is the graphical representation of inverse functions?

Back

Inverse functions are symmetric with respect to the line y = x.