Quiz about Module 9 Exponential Functions - Review

Question 1

A population of mutant venus fly trap plants are taking over an island in the South Pacific, capturing everything from insects to small rodents. When they were first discovered they covered 4 square kilometers. As the population grows, the plants spread and cover more land. Use the table to write an equation.

Accepted Answer

y=4(1.67)^x

Answer

y=4(4)x

Answer

y=4(2.68)^x

Answer

y=4(1+1.67)^x

Question 2

Determine whether the sequence is arithmetic, geometric, or neither.

960, 240, 60, 15, ...

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 3

A pool containing 5000 gallons of water is losing 8% of its water every hour. Let t be the number of hours, and y be the number of gallons of water remaining. Write an exponential function showing the relationship between y and t.

Accepted Answer

$$y=5000\left(0.92\right)^t$$

Answer

$$y=5000\left(8\%\right)^t$$

Answer

$$y=5000\left(1-0.8\right)^t$$

Answer

$$y=5000\left(1.08\right)^t$$

Question 4

Is the graph linear, exponential or neither?

Accepted Answer

Linear

Answer

Exponential

Answer

Neither

Question 5

Question 5.

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 6

Is the graph linear, exponential or neither?

Accepted Answer

Linear

Answer

Exponential

Answer

Neither

Question 7

Write a recursive formula for the sequence.

7, 21, 63, 189, ...

Accepted Answer

$$a_1=7$$

$$a_n=3\cdot a_{\left(n-1\right)}$$

Answer

$$a_1=7$$

$$a_n=3\cdot a_{\left(n-1\right)}+7$$

Answer

$$a_1=7$$

$$a_n=7\cdot a_{\left(n-1\right)}$$

Answer

$$a_1=7$$

$$a_n=7\cdot a_{\left(n-1\right)}+14$$

Question 8

The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. What type of function is this?

Accepted Answer

Exponential

Answer

Linear

Answer

Neither

Question 9

Does the graph represent growth, decay, linear or none?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 10

Is the table linear, exponential, or neither?

Accepted Answer

Linear

Answer

Exponential

Answer

Neither

Question 11

What is the y-intercept of the function?

Accepted Answer

3

Answer

2

Answer

1

Answer

-2

Question 12

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

Accepted Answer

Decay

Answer

Growth

Answer

Linear

Answer

None

Question 13

A(n) _________________ function will ADD the same number each time.

Accepted Answer

Linear

Answer

Quadratic

Answer

Exponential

Answer

All of the above

Question 14

What type of pattern do exponential functions have?

Accepted Answer

Multiplies by the same number every time

Answer

Adds by the same number every time

Answer

Square roots all the inputs

Answer

Squares all the inputs

Question 15

What does the y-intercept of the graph represent?

Accepted Answer

The initial amount of grams.

Answer

The amount of grams the material is gaining.

Answer

The amount of grams the material is losing.

Answer

The amount of grams remaining after so many years.

Question 16

The following equation represents. EXPLAIN

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Neither

Question 17

What relationship is demonstrated by this table of values? EXPLAIN

Accepted Answer

Exponential Growth

Answer

Linear

Answer

Neither

Answer

Exponential Decay

Answer

Linear Growth

Question 18

If you are given the following tables, how would you fill in the missing values?

Accepted Answer

Find the first difference for the linear table and use that to find the other y values and for the exponential table find the common ratio and use that to find the other y values.

Answer

Find the common difference for the linear table and use that to find the other y values and for the exponential table find the first difference and use that to find the other y values.

Answer

Use the second difference to find the linear table values and the third difference to find the exponential table values.

Answer

Give up.

Question 19

What is the y-intercept of the function?

Accepted Answer

3

Answer

2

Answer

1

Answer

-2

Question 20

In Jack and the beanstalk, the beanstalk grows very rapidly. It began at a length of 3 ft and grew at a rate of 14% per minute

Write the exponential function for this example

Accepted Answer

y=3(1.14)^x

Answer

y=6(0.14)^x

Answer

y=3(17)x

Answer

y=3(0.86)^x

Answer

y=6(1.04)^x

Question 21

Describe the translation of the graph $$y=3^x$$ to become $$y=3^{\left(x-2\right)}+5$$ .

Accepted Answer

right 2, up 5

Answer

up 2, right 5

Answer

left 2, up 5

Answer

down 2, left 5

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