Concept Check: Exponential Functions Transformations

What is the domain of the function shown below?

• -2 < x < 5
• 0 < x < 12
• y > 0
• All Real Numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

What is the range of the function shown below?

• 0 < y < 12
• -2 < y < 5
• y > 0
• All Real Numbers 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which represents exponential decay?

• A

• B

• C

• D

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

Determine the horizontal asymptote for the function

f(x) = 3(2)^x-4 + 5

• x=4

• y=4

• x=5

• y=5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the range for the function

f(x) = 3(2)^x-4 + 5

• [5,∞)

• (5,∞)

• [4,∞)

• (4,∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Determine the domain for the function
f(x)=3(2)^x-4+5

• [5,∞)
• (5,∞)
• (-∞,∞)
• (∞,-∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

• f(x)=2^x-1-3

• f(x)=2^x-1+3

• f(x)=2^x+1-3

• f(x)=2^x+1+3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following is an exponential decay? (Check all that apply)

• y = 5⋅(1/5)^x

• y = 5⋅(7/2)^x

• y = 5⋅8^x

• y = 5⋅1.5^x

Tags

CCSS.HSF.LE.A.1

What is the a-value of the function?

• 4

• 3

• 2

• 1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.1