Functions and Their Inverse

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

Are these inverse functions?

• yes
• no
• no way to tell

Tags

CCSS.HSF-BF.B.4B

Describe the transformation of the function g(x)= -2∣x+2∣-9

• Reflect the y axis, stretch vertically, left 2, down 9
• Reflect the x axis, stretch vertically, right 2, down 9
• Reflect the x axis, compress vertically, right 2, down 9
• Reflect the x axis, stretch vertically, left 2, down 9

If f(x) is the quadratic and g(x) is the POSITIVE linear function, where does f(x)=g(x)?

• {-.5, .75}
• {-1, 1.5}
• {1, 3}
• {-.5, 0}

Given the piece wise function, evaluate f(-17).

• 2
• 374
• 614.125
• -204

Tags

CCSS.HSF.IF.A.2

Determine where f(x)=g(x) if f(x)= -2x²+8x+7 and g(x)=√(5x-3) + 2.

• 4.1
• 6.2
• no solution
• 4.3

Tags

CCSS.HSA.REI.A.2

Find the inverse of f(x) = 3x +8

• f^-1(x) = 3(x-8)
• f^-1(x) = (8x-1)/3
• f^-1(x) = (x-8)/3
• f^-1(x) = (x+8)/3

Tags

CCSS.HSF-BF.B.4A

Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4;   -x+1  if x ≥ 4
• f(x) = { x  if x ≤ 4;  -x+1  if x > 4
• f(x) = { -x+1  if x < 4;  x  if x ≥ 4
• f(x) = { -x+1  if x ≤ 4;  x if x > 4

Tags

CCSS.HSF-IF.C.7B

What is the equation of this graph?

• y=2|x-3|+1
• y=2|x-1|+3
• y=-2|x-3|+1
• y=-2|x-1|+3

Tags

CCSS.HSF-IF.C.7D

Write a rule:  A plumber charges $50 for a house call plus $12 per hour for labor.

• y = 50 x + 12
• y = 50 + 12 x
• y = 62 x
• x = 50 + 12y

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2