Unit 4 Review

Unit 4 Review

Multiple Choice

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

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

Multiple Choice

What is the domain of the function?

• All positive numbers

• All negative numbers

• All real numbers

• (0,10)

Multiple Choice

A graph of the function

 $y=b^x$  what is a possible value of b?

• -3

• 8/7

• 1/2

• 6

Multiple Choice

A graph of the function

 $y=b^x$  what is a possible value of b?

• -3

• -6

• 1/2

• 6

Fill in the Blanks

Given

 $f\left(x\right)=2\times2^x$ , find f(2)

Fill in the Blanks

Given

 $f\left(x\right)=4\times2^x$ , find f(-2)

Multiple Select

Which functions represent exponential growth? Check all that apply

• $f\left(x\right)=2^x$

• $f\left(x\right)=\left(\frac{1}{2}\right)^x$

• $f\left(x\right)=.25\left(\frac{7}{5}\right)^x$

• $f\left(x\right)=4x+2$

Multiple Choice

Angel won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?

• $4915.59

• $3933.28

• $2979.81

• $4005.09

Multiple Choice

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

• $1,584.62
• $2,651.39
• $2,706.86
• $1,825.10

Multiple Choice

Is the table linear, exponential or neither?

• Linear
• Exponential
• Neither

Multiple Choice

Which type of function is given by the table?

• Linear

• Exponential

• Quadratic

• Piecewise

Multiple Choice

The range of

 $y=4^x$  is 1,4,16,...
What is the domain of the function?

• (-∞,∞)

• (0,∞)

• {1,2,3,4,...}

• {0,1,2,3,....}

Multiple Choice

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

Multiple Choice

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

Multiple Choice

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1

Multiple Choice

Given the equation $y=5\left(0.92\right)^x$ , what's the percent change? 

• 92% decrease

• 8% decrease

• 108% increase

• 8% increase

Multiple Choice

Given the equation $y=900\left(1.03\right)^x$ , what's the percent change? 

• 103% increase

• 3% decrease

• 3% increase

• 0.03% decrease

Multiple Choice

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal Shift to the right 1 unit
• Horizontal shift to the left one unit
• Vertical shift one unit up
• Vertical shift one unit down

Multiple Choice

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal Shift to the right 1 unit
• Horizontal shift to the left one unit
• Vertical shift one unit up
• Vertical shift one unit down

Multiple Choice

The points (0,1), (1,3), (2,9) and (3,27) are on the graph of which function?

• $f\left(x\right)=2^x$

• $f\left(x\right)=3^x$

• $f\left(x\right)=4^x$

• $f\left(x\right)=5^x$

Multiple Choice

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Multiple Choice

Which graph matches the equation?

Multiple Choice

Which equation matches this graph?

Multiple Choice

As x → ∞ , f(x) →

• -4

• -3

• ∞

• -∞

Multiple Choice

As x → -∞ , f(x) →

• -4

• 3

• ∞

• -∞

Multiple Choice

What is the average rate of change of [1, 5]?

• -0.65
• -0.75
• 3.75
• 4

Multiple Choice

Find the average rate of change over the given interval. 

• 4
• 7
• 7/3
• 3/7