Chapter 8 Final Exam Review

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

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

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

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

• Growth
• Decay

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

• f(x)=400(3)^x

• f(x)=400(0.97)^x

• f(x)=400(1.03)^x

• f(x)=400(0.03)^x

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

Solve:

log₂(x + 3)=5

• x=2

• x=29

• x=7

• x=32

Which equation is representative of the graph?

• y=4(1/2)^x

• y=1/2(4)^x

• y=4(2)^x

• y=8(1/2)^x

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:

Translate 3 units left and 2 units up.

• f(x)=log(x+2)+2

• f(x)=log(x+2)-4

• f(x)=log(x+8)-4

• f(x)=log(x+8)+2