Master Determining if a function has an inverse from a graph and then graphing the inverse

The video tutorial explains how to determine if a function has an inverse by using the vertical and horizontal line tests. It discusses the concept of one-to-one functions and how to reflect graphs across the X=Y line to find inverses. The tutorial provides examples of functions with and without inverses and emphasizes the importance of these tests in identifying inverses graphically.

What is the primary test used to determine if a function has an inverse?

• Vertical line test

• Horizontal line test

• Diagonal line test

• Slope test

What does the line X = Y represent in the context of function inverses?

• The axis of symmetry

• The line of reflection for inverses

• The vertical line test

• The horizontal line test

What happens to points above the X = Y line when reflecting a graph to find its inverse?

• They move to the right

• They move below the line

• They remain unchanged

• They move to the left

Why is the vertical line test used when examining the inverse of a function?

• To check if the inverse is a function

• To calculate the range of the inverse

• To find the domain of the inverse

• To determine the slope of the inverse

If a function's inverse does not pass the vertical line test, what can be concluded?

• The function is not differentiable

• The inverse is undefined

• The inverse is not a function

• The function is not continuous

What is the first step in determining if a function has an inverse?

• Check if it passes the horizontal line test

• Check if it passes the vertical line test

• Reflect the graph over the X = Y line

• Calculate the derivative

Which of the following is NOT a step in determining if a function has an inverse?

• Checking the horizontal line test

• Calculating the integral of the function

• Reflecting over the X = Y line

• Using the vertical line test on the inverse