4/15 BOOTCAMP EXPONENTIAL FUNCTIONS

Multiple Choice

Evaluate the function for the given value:

f (x) = 5^x for f(4)

• 20

• 625

• 125

• 25

Multiple Choice

Evaluate the function for the given value:

h(t) = 3 • 4^t for h(-3)

• $$\frac{3}{64}$$

• 192

• -36

• $$-\frac{3}{64}$$

Multiple Choice

What does this graph represent?

• Exponential Decay

• Exponential Growth

Multiple Choice

Which does y= 2(.5)^x represent?

• Exponential Growth

• Exponential Decay

Multiple Choice

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

• Growth

• Decay

Multiple Select

Select all the equations that represent exponential decay.

• $$y=\frac{1}{2}\left(4\right)^x$$

• $$y=4\left(\frac{1}{2}\right)^x$$

• $$y=80\left(1.4\right)^x$$

• $$y=60\left(0.7\right)^x$$

• $$y=3\left(0.6\right)^x$$

Multiple Choice

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• D

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• D

Multiple Choice

• BOUNCE 1

• BOUNCE 2

• BOUNCE 3

• BOUNCE 4

Drag and Drop

In March, 2020, before the Covid-19 lockdown, 1,200,000 Texans had applied for unemployment. During the COVID-19 lockdown, the number of people applying for unemployment increased by 4% each month. What exponential function can be used to find the number of people applying for unemployment after x months of COVID-19 lockdown?​

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Multiple Choice

Which of the following exponential functions represents an initial value of 1450 and a decay of 18% for x years?

• $$y=1450\left(0.18\right)^x$$

• $$y=1450\left(1.18\right)^x$$

• $$y\ =\ 1450\ -\left(0.18\right)^x$$

• $$y=1450\left(0.82\right)^x$$

Drag and Drop

Which of the following exponential functions represents an initial value of 1780 and a growth of 18% for x years?​

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Multiple Choice

Chloe was studying earthquake waves in Japan. The function of $$f\left(x\right)=354\left(1.15\right)^x$$ gives the number of waves at the end of x days. What is the growth rate for this function?​ ​

• The initial number of waves is 15.

• The initial number of waves decreases at a rate of 85% each day.

• The initial number of waves increases at a rate of 15% each day.

• The number of waves at the end of one day is 354.

Drag and Drop

The current population of India (2021) is 1.393 billion people, at an annual rate of increase of 97%. Which exponential function models the population, in billions of people, of India after x number of years?​

Placeholder

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Multiple Choice

 A flea medicine breaks down at a rate of 20% per hour.  This is the rate of decay of the medicine. The initial dose is 60 milligrams. Which of the following represent the equation the models the amount of flea medicine left in an animal?

• $$y=60\left(.2\right)^x$$  

• $$y=20\left(60\right)^x$$  

• $$y=60\left(.8\right)^x$$  

• $$y=60\left(1.2\right)^x$$  

Multiple Choice

Semi-Annually means how many times a year?

• 4

• 2

• 1

• 6

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 sequence geometric or arithmetic?

3, 6, 9, 12...

• Arithmetic

• Geometric

• Neither

• Both

Multiple Choice

Is the sequence geometric or arithmetic?

6, 18, 54...

• Arithmetic

• Geometric

• Neither

• Both

Multiple Choice

Which formula is explicit?

• $$a_n=7\cdot a_{n-1}$$

• $$a_n=7n+1$$

• $$a_n=7^{n-1}$$

• $$a_n=4\cdot3^n$$

Multiple Choice

Which formula is recursive?

• $$a_n=7\cdot a_{n-1}$$

• $$a_n=7n+1$$

• $$a_n=7^{n-1}$$

• $$a_n=4\cdot3^n$$

Multiple Choice

What does a₁ represent?

• Any term

• First term

• Last term

Multiple Choice

What does r represent?

• Radical

• Common difference

• Common ratio

​First determine if it is arithmetic or geometric

Multiple Choice

Write the explicit formula for the following geometric sequence:

10, 20, 40, 80, ...

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Multiple Choice

Which of the following recursive formulas represents the given sequence.

7, 14, 28, 56, 112, ...

• $$a_n=a_{n-1}+7$$

• $$a_n=a_{n-1}\cdot7$$

• $$a_n=a_{n-1}\cdot2$$

• $$a_n=a_{n-1}+14$$

Multiple Choice

Find the next three terms of the following geometric sequence:

4, 12, 36, 108, ...

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

• 324, 648, 1296

Multiple Choice

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Multiple Choice

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Multiple Choice

What is the equation of the horizontal asymptote for following exponential function?

• y = -4

• y > -4

• y < -4

• (0, -3)

Multiple Choice

What is the equation of the horizontal asymptote for following exponential function?

• y = -4

• y > -4

• y < -4

• (0, -3)

Multiple Choice

What is the asymptote of y = 2^x-3 ?

• y = 0

• y = -3

• x = 0

• x = -3

Multiple Choice

What is the transformation?

• Vertical Translation up 2

• Vertical Translation down 2

• Horizontal Translation left 2

• Horizontal Translation right 2

Multiple Choice

What is the transformation?

• Vertical Translation up 2 and Horizontal translation right 1

• Vertical Translation down 2 and Horizontal Translation left 1

• Horizontal Translation left 2 and Vertical Translation up 1

• Horizontal Translation right 2 and Vertical Translation down 1

Multiple Choice

What transformation occurs from

$$y=2^x$$  to  $$y=-1\cdot2^x$$  

• Reflection over the x-axis

• Reflection over the y-axis

• Vertically shift down 1 units

• Changes from growth to decay

Multiple Choice

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• D

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Multiple Choice

The asymptote of y = 2^x + 4 will shift...

• up four to y = 4

• down four to y = -4

• not shift at all and remain y = 0