Inverse Functions Quiz

What does an inverse function do to the original function?

• It multiplies the original function by 2.

• It "undoes" the original function.

• It squares the original function.

• It adds 1 to the original function.

If f(x) is the original function, what is the notation for its inverse?

• f^2(x)

• f'(x)

• f^(-1)(x)

• f(x+1)

Which of the following statements is true about inverse functions?

• The inverse function multiplies the original function by 2.

• The inverse function "undoes" the original function.

• The inverse function squares the original function.

• The inverse function adds 1 to the original function.

What must a function pass to have an inverse?

• Vertical line test

• Horizontal line test

• Diagonal line test

• Curved line test

After replacing f(x) with y, what is the new equation?

• y = 2x + 3

• y = x + 2

• y = 3x + 2

• y = 2x - 3

What is required to solve for y in the example quadratic function?

• Completing the square or quadratic formula

• Substitution method

• Graphical method

• Factoring

What is the notation for the inverse function of f(x)?

• f^(-1)(x)

• f(x)^(-1)

• f(x)^2

• f(x)^(-2)

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

• f^(-1)(x) = log_5(x)

• f^(-1)(x) = ln(x)/5

• f^(-1)(x) = 5^(-x)

• f^(-1)(x) = x^5

What is the range of the inverse function of f(x) = 4x^2 + 2x + 1?

• y ≥ 1

• y ≤ 1

• y > 0

• y < 0

What is the inverse function of f(x) = x^2?

• f^(-1)(x) = sqrt(x)

• f^(-1)(x) = x^2

• f^(-1)(x) = -sqrt(x)

• f^(-1)(x) = 1/x