A2 - Midterm Review (Quarter 1)

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) }

Are f(x) =x+6 and g(x) =x-6 inverses?

• Yes

• No

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

Graph the inverse

• 
• 
• 
• 

To graph the inverse of a function...

• Rotate it around the origin

• Reflect it across the x-axis

• Reflect it across the y-axis

• Switch the x and y coordinates and plot the new points

Find the inverse

• f^-1(x) = 2x+16

• f^-1(x) = 2x-16

• f^-1(x) = 2x - 8

• f^-1(x) = x + 16

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

• y=x

• x-axis

• y-axis

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

• 1

• x

• 0

• y

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 inverse of the function
f(x) = 2x + 4   ?

• f^-1(x) = 4(x -2)
• f^-1(x) = (x-4)/2
• f^-1(x) = x/2 - 4
• f^-1(x) = x/4 + 2