Exponents and Exponential Functions

^simplify 5x³ 2x²

• 10x⁵
• 3x
• 10x⁶
• 7x⁵

Tags

CCSS.HSA.APR.A.1

 $w^{15}\ \cdot\ \frac{1}{w^5}$  

• w¹⁰

• w²⁰

• w³

•  $\frac{1}{w^{75}}$  

Tags

CCSS.HSA.APR.A.1

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

Tags

CCSS.HSF.LE.B.5

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

• Exponential Decay

• Exponential Growth

Tags

CCSS.HSF-IF.C.8B

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

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.LE.A.2

Given the following table of values, construct the function that represents the sequence.

• y = 3(4)^x

• y = 3x + 4

• y = 4(3)^x

• y = 4x + 3

Tags

CCSS.HSF.LE.A.2

The function y = 24,220 (0.85)^x represents Mr. Bittle's investment in the stock exchange where x is measured in months.
Which statement is NOT true.

• Mr. Bittle loses 85% of his investment monthly
• Mr. Bittle initially invested $24,220
• Each month Mr. Bittle loses less money than the prior month

Tags

CCSS.HSF.LE.B.5

Write an exponential function to model the situation. Solve.
2) The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?

• C(t) = 12000(1.06)^t ; $3149.72
• C(t) = 12000(.06)^t ; $3149.72
• C(t) = 12000(.06)^t ; $1472.95
• C(t) = 12000(1.06)^t ; $15149.72

Tags

CCSS.HSF.LE.A.2

Write an exponential function to model the situation. Solve.
8) Bismuth-214 has a half-life of approximately 20 minutes. Find the amount of Bismuth-214 left from a 30-gram sample after 1 hour.

• y = 30 (.5)^t ; 15g
• y = 30 (.5)^t ; 7.5g
• y = 30 (.5)^t ; 3.75g
• y = 30 (.5)^t ; 1.88g

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5