Exploring Inverse Functions: Graphing and Equations

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

• Divide the x and y values

• Switch the x and y values

• Change the signs of the values

• Multiply the x and y values

If a relation has the point (2, -3), what is the inverse of this point?

• (3, -2)

• (-2, 3)

• (-3, 2)

• (2, -3)

What does switching the x and y values in a relation accomplish?

• Calculates the derivative

• Creates a parallel function

• Finds the integral

• Determines the inverse of the function

If a function's relation is its own inverse, what can be said about its x and y values?

• They are opposites

• They are halved

• They are squared

• They are equal

What property does an inverse function graph have in relation to the line y = x?

• It is symmetric

• It is parallel

• It is tangent

• It is perpendicular

When graphing an inverse function, what is the first step?

• Drawing the line y = x

• Finding ordered pairs on the original line

• Solving for y

• Reflecting points over the y-axis

What is the significance of the line y = x in relation to inverse functions?

• It is the asymptote

• It is the vertex

• It is the axis of symmetry

• It is the intercept

What is the inverse function notation?

• f+1(x)

• f(x)^1

• f^-1(x)

• f(x)^-1

What is the final step in writing the equation of an inverse function?

• Graph the function

• Switch x and y values

• Replace y with f^-1(x)

• Solve for x

How do you solve for y when creating the equation of an inverse function?

• Add x on both sides

• Multiply both sides by y

• Isolate y on one side of the equation

• Subtract x from both sides