1/6 Unit 1 Review CFU/Exit Ticket

Front

Are the following functions inverses of each other?

Back

False

Front

Find the inverse of the function f(x) = 3x - 5.

Back

f⁻¹(x) = (x + 5) / 3

Front

This graph has an inverse because it passes the Horizontal Line Test. True or False?

Back

False

Front

This graph represents a function because it passes the Vertical Line Test. True or False?

Back

False

Front

A function is called INVERTIBLE, or ONE-TO-ONE, if it has an inverse. Is this function invertible, or one-to-one?

Back

No

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function.

Front

What is the Horizontal Line Test?

Back

A test to determine if a function has an inverse; if any horizontal line intersects the graph more than once, it is not invertible.

Front

What is the Vertical Line Test?

Back

A test to determine if a relation is a function; if any vertical line intersects the graph more than once, it is not a function.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

Front

How do you find the inverse of a function algebraically?

Back

Replace f(x) with y, swap x and y, and solve for y.