Understanding Inverse Functions

What is the primary purpose of an inverse function?

• To calculate the area under a curve

• To find the derivative of a function

• To reverse the mapping of the original function

• To map an input to a new output

Which notation is used to represent the inverse of a function?

• f'(x)

• f^(-1)(x)

• f^2(x)

• f(x)

What is the first step in finding the inverse of a function algebraically?

• Find the derivative

• Graph the function

• Replace f(x) with y

• Solve for x

How do you graphically represent the inverse of a function?

• As a horizontal line

• As a vertical line

• As a parabola

• As a reflection over the line y = x

What is the slope of the inverse function in the given example?

• 1/2

• 2

• 1

• 4