Exponential Functions Review

Which equation describes the story below?

You start with $5 and triple your money every day.

• y=5(3)^x

• y=5^x

• y=5(3x)

• y=15^x

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

• f(h) = 3(6)^h

• f(h) = 6x^h

• f(h) = 6(3)^h

• f(h) = 3(6h)

Tags

CCSS.HSF.LE.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

CCSS.HSA.SSE.A.1

What is the a-value (or y-intercept) for the function: f(x) = 800(0.85)^x?

• 800

• 0.85

• 0.15

• x

Tags

CCSS.HSF.LE.B.5

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

CCSS.HSA.SSE.A.1

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Tags

CCSS.HSF.LE.B.5

Asymptote?

• y = 2
• y = -2
• x = 2
• y = 0

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.11

Domain?

• (-∞, ∞)
• (0, ∞)
• (-∞, 0)
• [0, ∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.5

Range?

• (-8, ∞)
• [-8, ∞)
• (-∞, ∞)
• (∞, -8)

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

Exponential Growth or Decay?

• Exponential Growth
• Exponential Decay
• Both Growth & Decay
• Cannot be Determined

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.3

y-intercept?

• (0, 5)
• (5, 0)
• (1.2, 0)
• (0, 1.2)

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2