Exponential Equations Review

State whether this function is growth or decay:  $y=2\left(1.35\right)^x$  

• Growth

• Decay

Tags

CCSS.HSF.LE.B.5

State whether this function is growth or decay: $y=\frac{3}{4}\left(.95\right)^x$  

• Growth

• Decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve: 2^x = 4^x+1

• x = -2
• x = 2
• x = -3
• x = 3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

• x = -1
• x = -4
• x = -3
• x = 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

• -1
• -6/7
• -5
• 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

Use the graph to help!

• Domain: −∞<x<∞

  Range: y>0

• Domain: −∞<x<∞

  Range: y>1

• Domain: −2<x<∞

  Range: y>0

• Domain: −∞<x<∞

  Range: y<0

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Which equation best describes the graph? 

• y = 2^x + 4
• y = 2^x - 3
• y = 2^x - 4
• y = 2^x + 3 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What is the horizontal asymptote?

• y = 2
• y = -2
• x = 2
• y = 0

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What transformations occur to f(x)=5^x?

• translate right 3, up 2

• translate left 3, up 2

• translate left 3, down 2

• translate right 3, down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7