Inverse Functions

Find the inverse for this relation: { (1, -3), (-2, 3), (5, 1), (6, 4) }

• { (1, 3), (2, 3), (5, 1), (6, 4) }

• { (-1, -3), (-2, -3), (-5, -1), (-6, -4) }

• { (3, -1), (-3, 2), (-5, 1), (4, -6) }

• { (-3, 1), (3, -2), (1, 5), (4, 6) }

Tags

CCSS.HSF-BF.B.4C

Find the inverse: f(x) = 3x + 2

• f^-1(x) = 2x + 3

• f^-1(x) = -3x + 2

• f^-1(x) = (x-2)/3

• f^-1(x) = (x-3)/2

Tags

CCSS.HSF-BF.B.4A

Graph the inverse

• 
• 
• 
• 

Tags

CCSS.HSF-BF.B.4C

Is the inverse of this a function?

• No

• Yes

Is the inverse of this a function?

• Yes

• No

Find the inverse

• f^-1(x) = 2x+16

• f^-1(x) = 2x-16

• f^-1(x) = 2x - 8

• f^-1(x) = x + 16

Tags

CCSS.HSF-BF.B.4A

When two functions are inverses of each other, their graphs are reflective over...

• y=x

• x-axis

• y-axis

Tags

CCSS.HSF-BF.B.4C

To prove two functions are inverses of each other, both f(g(x)) and g(f(x) should equal...

• 1

• x

• 0

• y

Tags

CCSS.HSF-BF.B.4B

A function has an inverse function if...

• It passes the Vertical Line Test

• It fails the Horizontal Line Test

• It passes the Horizontal Line Test

• It fails the Vertical Line Test

What is the first step in finding the equation of the inverse of a function?

• get x by itself
• switch x and y
• solve for y
• write the function in inverse function notation

Tags

CCSS.HSF-BF.B.4A