Unit 8: Exponential Functions and Geometric Sequences

What is the common ratio for the sequence?
1, 3, 9, 27, ...

• -3
• -⅓
• ⅓
• 3

Tags

CCSS.HSF.BF.A.2

A ball is dropped from a height of 18feet. The function f(x)=18(0.5)^x gives the height in feet of each bounce, where x is the bounce number. What will be the height of the third bounce to the nearest tenth of a foot?

• 4.5 ft
• 2.3 ft
• 1.1 ft
• 0.6 ft

Pick the equation that represents an exponential function.

• f(x) = 3x + 2
• f(x) = 3x²
• f(x) = 3(2)^x
• f(x) = x³+ 2

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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

What is r, growth rate, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

• -5
• -.05
• .95
• .05

Tags

CCSS.HSF-LE.A.1C

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth
• Decay

Tags

CCSS.HSF.LE.A.1

What is the domain of the function graphed on the grid?

• x ≥ 0

• -3 ≤ x ≤ 10

• All real number

• y ≥ 0

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5