Quiz about Algebra 2: 6.1 - 6.2 Quizizz Review

Question 1

Which function represents the given exponential function after a vertical compression (shrink) by a factor of 1/2 and a reflection over the y-axis?

y = 5^x

Accepted Answer

$$y=\frac{1}{2}\cdot5^{-x}$$

Answer

$$y=2\cdot5^x$$

Answer

$$y=2\cdot5^{-x}$$

Answer

$$y=\frac{1}{2}\cdot5^x$$

Question 2

Which function represents the given exponential function after a vertical stretch by a factor of 7 and a shift down by 4?

y = 2^x

Accepted Answer

$$y=7\cdot2^x-4$$

Answer

$$y=7\cdot2^x+4$$

Answer

$$y=4\cdot2^x-4$$

Answer

$$y=4\cdot2^x-7$$

Question 3

8,000 bacteria were present in a blood culture. The given function represents the number of bacteria after x hours. After 3 hours, what will happen to the number of bacteria in the blood culture?

$$f\left(x\right)=8,000\left(\frac{3}{2}\right)^x$$

Accepted Answer

It will increase by 19,000

Answer

It will increase by 27,000

Answer

It will decrease by 27,000

Answer

It will decrease by 19,000

Question 4

You start with one penny a day ($0.01). The amount will double each day (let x represent the number of days). How much will you have on the 25th day?

$$f\left(x\right)=0.01\left(2\right)^x$$

Accepted Answer

The amount of money will have increased by over $335,500.

Answer

The amount of money will have decreased by over $335,500.

Answer

Doubling a penny every day won't do anything... not worth calculating!

Answer

It will increase by over $3,355,443!

Question 5

What type of function is shown?

$$y=5\left(2\right)^x$$

Accepted Answer

Exponential

Answer

Quadratic

Answer

Logarithmic

Question 6

What is the domain of the function?

$$y=5\left(2\right)^x$$

Accepted Answer

All real numbers

Answer

0

Answer

0.5

Question 7

What type of function is shown?

$$y=8\left(x-3\right)^2$$

Accepted Answer

Quadratic

Answer

Exponential

Answer

Logarithmic

Question 8

Select the TWO true statements for the function:

$$y=8\left(2\right)^x$$

Accepted Answer

Y-intercept: 8

Accepted Answer

Asymptote: 0

Answer

Y-intercept: 0

Answer

Asymptote: 8

Question 9

Select the TWO true statements for the function:

$$y=\frac{1}{4}\left(5\right)^x$$

Accepted Answer

Y-intercept: $$\frac{1}{4}$$

Accepted Answer

Asymptote: 0

Answer

Asymptote: $$\frac{1}{4}$$

Answer

Y-intercept: 0

Question 10

What is the range of the function?

$$y=2\left(5\right)^x$$

Accepted Answer

y > 0

Answer

y < 0

Answer

y > 1

Answer

y < 1

Question 11

Olivia invested $200 in a savings account that grows at a rate of 5% per year, compounded annually. The amount of money in the account after t years is given by the function $$f\left(t\right)=200\left(1+0.05\right)^t$$ . Mason and Grace are trying to calculate the amount in the account after 7 years. Which of the following is the correct calculation?

Accepted Answer

$$f\left(7\right)=281.42$$ (Mason's calculation)

Answer

$$f\left(7\right)=3417.19$$ (Grace's calculation)

Question 12

A town's population is 4,000 in 2008. It is expected to increase by about 4.5% per year. Which of the following represents the exponential growth function of the town's population, P(t)?

Accepted Answer

Question 13

A town's population is decreasing at a rate of 5% per year. In the initial year of data collection, the population was 3,000. Write a function that represents the population, y, t years later.

Accepted Answer

$$y=3000\left(0.95\right)^t$$

Answer

$$y=3000\left(1.05\right)^t$$

Answer

$$y=3000\left(0.05\right)^t$$

Answer

$$y=3000\left(5\right)^t$$

Question 14

Write a function that represents the money (A) in the account with interest compounded quarterly with an initial investment of $3,500 at a rate of 6.2%.

Accepted Answer

$$A\left(t\right)=3,500\left(1+\frac{.062}{4}\right)^{4t}$$

Answer

$$A\left(t\right)=3,500\left(1.062\right)^t$$

Answer

$$y=3,500\left(1+.62\right)^{4t}$$

Answer

$$A\left(t\right)=3,500\left(1+\frac{.062}{12}\right)^{12t}$$

Question 15

Aiden invested $2720 in a savings account that grows at an annual interest rate of 3.7% compounded continuously. If he leaves the money in the account for 10 years, how much will he have in the account at the end of this period?

Accepted Answer

$3,937.84

Answer

$110,016.67

Answer

$3,911.62

Answer

$9,900.00

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