Inverse Function with Two Variables

A function the undoes the action of another function and switch the x- and y-values.

• Parent Function

• Quadratic Function

• Inverse Function

• Party Function

Tags

CCSS.HSF-BF.B.4A

Suppose that x and y vary inversely. Write a function that models each inverse variation if x = 6 when y = 2.

• y = 12 / x

• y = x / 12

• y = 3 / x

• y = x / 3

Write a function that models for the following situation; z varies jointly with x and y and inversely with w.

• z = (kxy) / w

• z = (xy) / w

• z = (kx) / yw

• z = (k) / xyw

Suppose that x and y vary inversely. Write a function that models each inverse variation if x = 10 when y = 5.

• y = 50 / x

• y = x / 50

• y = 2 / x

• y = x / 2

Tags

CCSS.HSF-BF.B.4C

Are these the graphs of two inverse functions?

• Yes

• No

• No way to tell

Tags

CCSS.HSF-BF.B.4B

Write a function that models for the following situation; z varies inversely with the product of w and y.

• z = kwy

• z = k / wy

• z = yw

• z = kw / y

a relationship between two variables in which the product of two variables equal to a constant.

• Inverse Variation

• Direct Variation

• Combined Variation

• Joint Variation