Inverse Functions Quiz

What is a key characteristic of a function that allows it to have an inverse?

• It must be a polynomial function.

• It must be a one-to-one function.

• It must be a constant function.

• It must be a quadratic function.

If F(x) = 3x + 2 and G(x) = (x - 2) / 3, what is G(F(1))?

• 5

• 1

• 2

• 3

What must be true for two functions to be considered inverses of each other?

• Their compositions must be undefined.

• Their compositions must equal each other.

• Their compositions must equal the identity function.

• Their compositions must equal zero.

What does the notation F⁻¹(x) represent?

• The integral of F(x)

• The derivative of F(x)

• The inverse function of F

• The reciprocal of F(x)

How do you find the inverse of a one-to-one function?

• By differentiating the function

• By integrating the function

• By multiplying the function by -1

• By exchanging the x and y values

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

• Integrate the function

• Differentiate the function

• Replace the function notation with y

• Graph the function

If F(x) = 5x + 7, what is the inverse function F⁻¹(x)?

• 5x - 7

• x + 7

• 7x + 5

• (x - 7) / 5

Why might a function not have an inverse?

• It is not continuous.

• It is not differentiable.

• It is not a one-to-one function.

• It is not a polynomial.

What is the graphical relationship between a function and its inverse?

• They are symmetrical with respect to the line y = x.

• They are perpendicular to each other.

• They are identical.

• They are parallel to each other.

What happens to the x and y values in a function and its inverse?

• They are multiplied by each other.

• They are added together.

• They switch places.

• They remain the same.