Quiz about Unit 11 Day 3 - Exponential Functions Mixed Practice

Question 1

In an exponential function, what does the 'a' represent?

Accepted Answer

y-intercept

Answer

Slope

Answer

Growth/Decay Factor

Question 2

In an exponential function, what does the 'b' represent?

Accepted Answer

Growth/Decay Factor

Answer

Slope

Answer

y-intercept

Question 3

What values of b make an exponential growth function?

Accepted Answer

b > 1

Answer

b > 0

Answer

b <1

Answer

0 < b < 1

Question 4

What values of b make an exponential decay function?

Accepted Answer

0 < b < 1

Answer

b > 0

Answer

b < 1

Answer

b > 1

Question 5

The graph of an exponential function is shown on the grid. Based on the graph, which statement about the function is true?

Accepted Answer

The range is the set of all real numbers greater than 0.

Answer

The range is the set of all real numbers less than 0.

Answer

The domain is the set of all real numbers greater than 2.

Answer

The domain is the set of all real numbers less than 2.

Question 6

Function f is graphed below. What is the domain of f?

Accepted Answer

All real numbers

Answer

x > 0

Answer

y > 0

Answer

x < 3

Question 7

Which graph shows an exponential function with a range of all real numbers greater than 0?

Accepted Answer

Question 8

The function g is graphed on the grid.

What is the range?

Accepted Answer

$$1\le y<8$$

Answer

$$-2<y\le1$$

Answer

$$-2\le y\le1$$

Answer

$$1<y\le8$$

Question 9

Function f is graphed. What is the domain?

Accepted Answer

All real numbers less than or equal to 1

Answer

All Real Numbers

Answer

All real numbers greater than or equal to 2

Answer

All real numbers less than 1

Question 10

Based on the table, which function represents the same relationship?

Accepted Answer

$$r(x) = 0.0875(2)^x$$

Answer

$$r(x) = 2(0.0875)^x$$

Answer

$$r(x) = 0.175(2)^x$$

Answer

$$r(x) = 0.0875(.175)^x$$

Question 11

Which graph shown below represents the equation $$y=3\left(0.25\right)^x$$ ?

Accepted Answer

Question 12

Which graph shown below represents the equation $$y=1\left(1.9\right)^x$$ ?

Accepted Answer

Question 13

In January, 520,000 digital songs were purchased and downloaded. Since then, digital song downloads have increased at a rate of 2.25% per month.

At this rate of growth, which function can be used to determine the monthly digital songs downloads m months after January?

Accepted Answer

$$p\left(m\right)=520000(1.0225)^m$$

Answer

$$p\left(m\right)=520000(2.25)^m$$

Answer

$$p(m)=1.0225(520000)^m$$

Answer

$$\left(p\left(m\right)=520000(.9775\right)^m$$

Question 14

After the Gold Rush ended, Golden, CA was seeing an decline in population of 6.2% annually. When the census trackers first took the data they found there were 30,000 people living in the town.

Which equation below represents the scenario?

Accepted Answer

$$A\left(t\right)=30000\left(.938\right)^t$$

Answer

$$A\left(t\right)=30000\left(6.2\right)^t$$

Answer

$$A\left(t\right)=30000\left(1.062\right)^t$$

Answer

$$A\left(t\right)=6.2\left(30000\right)^t$$

Question 15

The function $$f\left(x\right)=105\left(1.05\right)^x$$ , models the change in value of a gold coin picturing the head of the Roman Emperor Vespasian, in dollars, where x is the time in years.

In this equation what does the 105 represent?

Accepted Answer

The starting value of the coin

Answer

The rate at which the value is increasing, 5%

Answer

The value of the coin after 5 years

Answer

The rate at which the value is decreasing, 5%

Question 16

The function $$f\left(x\right)=105\left(1.05\right)^x$$ , models the change in value of a gold coin picturing the head of the Roman Emperor Vespasian, in dollars, where x is the time in years.

In this equation what does the 1.05 represent?

Accepted Answer

The rate at which the value is increasing, 5%

Answer

The starting value of the coin

Answer

The value of the coin after 5 years

Answer

The rate at which the value is decreasing, 5%

Question 17

The starting annual salary for a sales manager at a retail store is $48,000.

If the store awards an annual increase of 4.5%, which graph models this situation after the office worker receives x annual increases?

Accepted Answer

Question 18

The graph below shows the change in the value of a sailboat over several years. Based on the information in the graph, which conclusion appears to be true?

Accepted Answer

The sailboat was worth about $20,000 in year 6.

Answer

The sailboat will be worth more money in year 10 than in year 9.

Answer

The sailboat is appreciating in value each year.

Answer

The sailboat had a starting value of $120,000

Question 19

Based on the data in the table, what will be the population of crawfish in the pond at the end of 10 months?

Accepted Answer

4,096

Answer

256

Answer

192

Answer

8,192

Question 20

Based on the data, which measurement is closest to the number of guinea pigs 18 months after the guinea pigs were first introduced to New Zealand?

Accepted Answer

725 guinea pigs

Answer

510 guinea pigs

Answer

900 guinea pigs

Answer

1300 guinea pigs

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