Exploring Inverse Functions

What does an inverse function essentially do to the original function?

• It subtracts from the output values

• It squares each output value

• It reverses the operations performed

• It doubles the input values

How is the inverse function notation symbolically represented?

• F^(-1)(x)

• F'(x)

• F-1(x)

• F(x)^-1

In the context of inverse functions, what happens to the x and y values?

• x values are squared, y values are halved

• x and y values are added together

• x and y values are interchanged

• x values are divided by y values

If an ordered pair in the original function is (4, 7), what would it be in the inverse function?

• (7, -4)

• (-4, -7)

• (4, 7)

• (7, 4)

If a function contains the point (2, 5), what point would its inverse contain?

• (-2, -5)

• (5, 2)

• (2, 5)

• (5, -2)

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

• They are perpendicular to each other

• They intersect at the origin

• They are identical

• They are reflections over the line y = x

Which line do functions and their inverses reflect over?

• y = x

• x = y

• y = -x

• x = -y

What does the line y = x represent in the context of function graphs?

• The boundary line

• The maximum value line

• The symmetry line

• The reflection line for inverses

What is the slope and y-intercept of the line y = x?

• Slope: 1, Intercept: 1

• Slope: 1, Intercept: 0

• Slope: 0, Intercept: 1

• Slope: -1, Intercept: 1

How can you find the inverse point on a graph?

• By reflecting the point over the line y = x

• By moving along the line y = x

• By doubling the distance from the origin

• By using the midpoint formula