Inverse Functions

What is the definition of an inverse function?

• A function that multiplies the output of another function

• A function that reverses the operation of another function.

• A function that has the same output as another function

• A function that has no inverse

If f(x) = 2x + 3, what is the inverse function of f(x)?

• f^-1(x) = x / 2 + 3

• f^-1(x) = (x + 3) / 2

• f^-1(x) = (x - 3) / 2

• f^-1(x) = 2x - 3

Tags

CCSS.HSF-BF.B.4A

What is the notation used to represent the inverse of a function f?

• f^

• f~

• f*

• f^-1

Tags

CCSS.HSF-BF.B.4A

If f(x) = x^2, what is the inverse function of f(x)?

• f^-1(x) = x^2

• f^-1(x) = -sqrt(x)

• f^-1(x) = x

• f^-1(x) = sqrt(x)

Tags

CCSS.HSF-BF.B.4A

What is the relationship between a function and its inverse on a graph?

• They intersect at the origin

• They are reflections of each other across the line y = x.

• They have the same slope

• They are parallel lines

Tags

CCSS.HSF-BF.B.4C

If f(x) = 3x - 4, what is the inverse function of f(x)?

• f^{-1}(x) = (x - 4) / 3

• f^{-1}(x) = (x + 4) / 3

• f^{-1}(x) = 3x + 4

• f^{-1}(x) = x / 3 - 4

Tags

CCSS.HSF-BF.B.4A

How can you algebraically find the inverse of a function?

• Switch the roles of x and y in the function and solve for y.

• Square the function and solve for x

• Add a constant to the function

• Divide the function by 2

Tags

CCSS.HSF-BF.B.4A

Are these graphs inverses?

• yes

• no

• There is no way to tell.

Tags

CCSS.HSF-BF.B.4B

Are these graphs inverses?

• yes

• no

• There is no way to tell.

Tags

CCSS.HSF-BF.B.4B

What is the inverse of the points (1,3)(2,4)(6,2)

• (2,6)(3,1)(4,2)
• (-3,-1)(-4,-2)(-2,-6)
• (1,3)(2,4)(6,2)
• (-1,-3)(-2,-4)(-6,-2)

Tags

CCSS.HSF-BF.B.4C