6.1 and 6.2 Review Quiz

What is the equation that best represents the graph?

• y=2^y
• y=2^x
• y=2^-x
• y=x²

Tags

CCSS.HSF-IF.C.7A

What is the domain and range of the function y=2^x ?

Use the graph to help!

• Domain: All Real Numbers

  Range: y>0

• Domain: All Real Numbers

  Range: y>1

• Domain: [−2 ,∞)

  Range: y>0

• Domain: (−∞ , ∞)
  Range: $y\ge0$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What transformations have occurred from  $f\left(x\right)=2^x$   to  $g\left(x\right)=-3\left(2\right)^x-7$  

• Reflection across the y-axis, shrink by a factor of 3, horizontal shift left 7 

• Reflection across the x - axis, horizontal shift right 3, vertical shift down 7 

• Reflection across the x - axis, stretch by a factor of 3, vertical shift down 7 

• Stretch by a factor of 3, vertical shift down 7 

What is the horizontal asymptote for the graph of

f(x) = -2(3)^x+4 - 8 ?

• y = 8

• y = -8

• x = -8

• x = -4

What is the range for

f(x) = 5^x-6 - 3 ?

• (3,∞)

• (-3,∞)

• (-∞, 3)

• (-∞, -3)

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1

Tags

CCSS.HSF.LE.A.4

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSA.REI.A.1

Solve for a:
5^{a + 2} = 1/125

• -1
• -6/7
• -5
• 4

Tags

CCSS.HSF.LE.A.4

81^3-x = (1/3)^5x-6

• 6
• -6
• 9/2
• 3/2

Tags

CCSS.HSF.LE.A.4

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

Solve: 9^8-x = 27^x-3

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Tags

CCSS.HSF.LE.A.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

Solve for x:

(1/8)^x > 2³

• x < 1

• x > 1

• x < −1

• x > -1