Unit 4 Review - Math Analysis

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x
• f(x)=400(1-0.03)^x
• f(x)=400(1+0.03)^x
• f(x)=400(0.03)^x

Tags

CCSS.HSF.LE.A.2

Which of the following is an increasing exponential function whose y-intercept is 50?

• y = 50(.05)^x
• y = 50x - 4
• y = (2)^x + 50
• y = 50(1.4)^x

Tags

CCSS.HSF.LE.A.2

Identify the y-intercept (initial value) in the function

f(x)= 13(.27)^x

• (.27)^x

• .27

• 13

• 1+.27

Tags

CCSS.HSF-IF.C.7E

2^x+6=32

• x=-1
• x=11
• x=1
• x=-11

Tags

CCSS.7.EE.B.4A

Solve 8 = 2^5x+7

• x = ⅘
• x = ¼
• x = -⅘
• x = -¼

Write the equation that represents the table below:

• y=½(4)^x
• y=2(4)^x
• y=4(2)^x
• y=4(½)^x

Tags

CCSS.HSF.LE.A.2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months? Round your answer

• 9766
• 9006
• 9765
• 5433

Tags

CCSS.HSF.BF.A.2

Solve log(x) + log(x+3) = 1

• 5
• -2
• -5
• 2

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2
• 1

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5