Inverse Functions of Linear Functions

What is the process of finding inverse functions graphically?

• Reflecting the points of the original function across the line y = x.

• Reflecting the points of the original function across the line y = -x.

• Rotating the points of the original function 90 degrees counterclockwise.

• Finding the points of intersection between the original function and the line y = x.

Tags

CCSS.HSF-BF.B.4C

How can you determine if a linear function has an inverse?

• A linear function has an inverse if and only if its y-intercept is non-zero.

• A linear function has an inverse if and only if its range is non-zero.

• A linear function has an inverse if and only if its slope is non-zero.

• A linear function has an inverse if and only if its domain is non-zero.

What is the purpose of using the Horizontal Line Test?

• To determine if a function is one-to-one or not.

• To determine if a function is linear or not.

• To determine if a function is continuous or not.

• To determine if a function is increasing or decreasing.

How can you define the inverse function using ordered pairs?

• Divide the x and y values of each ordered pair.

• Swap the x and y values of each ordered pair.

• Multiply the x and y values of each ordered pair.

• Add the x and y values of each ordered pair.

Tags

CCSS.HSF-BF.B.4C

How can you define the inverse function using tables?

• Add the input and output values in the table.

• Swap the input and output values in the table.

• Reverse the order of the rows in the table.

• Multiply the input and output values in the table.

Tags

CCSS.HSF-BF.B.4C

How can you define the inverse function using a mapping diagram?

• Reverse the order of the steps in the original function to create the inverse function.

• Switch the input and output values of the original function to create the inverse function.

• Multiply the input and output values of the original function to create the inverse function.

• Add the input and output values of the original function to create the inverse function.

Tags

CCSS.HSF-BF.B.4C

If a linear function passes the Horizontal Line Test, does it have an inverse? (True/False)

• Not enough information

• Sometimes

• True

• False

If a linear function has a vertical line passing through more than one point on its graph, does it have an inverse? (True/False)

• Sometimes

• True

• Not enough information

• False

What is the relationship between a linear function and its inverse in terms of their graphs?

• They are parallel to each other.

• They intersect at the origin.

• They are reflections of each other across the line y = x.

• They have the same slope.

Tags

CCSS.HSF-BF.B.4B

Can a linear function and its inverse have the same graph? (True/False)

• Not sure

• Sometimes

• False

• True

Tags

CCSS.HSF-BF.B.4C