Inverse Functions - Unit 5 Skills 11-13

Front

What is the notation for the inverse of a function f(x)?

Back

f^-1(x)

Front

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

Back

f^-1(x) = 3x + 15

Front

What is the relationship between the domain of f(x) and the range of f^-1(x)?

Back

The domain of f(x) becomes the range of f^-1(x).

Front

If the domain of f(x) is x ≥ 4, what is the range of f^-1(x)?

Back

y ≥ 4

Front

How do you find the inverse of a function algebraically?

Back

Swap x and y in the equation and solve for y.

Front

What line does the graph of an inverse function reflect over?

Back

y = x

Front

If f(x) is a one-to-one function, what can be said about its inverse?

Back

The inverse f^-1(x) is also a function.

Front

What is the domain restriction for the inverse function g(x) = f^-1(x) if f(x) has a domain of x ≥ 0?

Back

x ≥ 0

Front

What is the range of f(x) if its domain is restricted to x ≤ 3?

Back

The range will depend on the specific function f(x).

Front

What is the definition of a one-to-one function?

Back

A function where each output is produced by exactly one input.