Given the function $$f(x) = 3^x$$ , what will happen to the graph if it is transformed to $$2f(x)$$ ?

The graph will be vertically stretched, making it twice as tall.

The graph will shift 2 units up.

The graph will be compressed vertically, making it half as tall.

The graph will shift 2 units down.

A population of bacteria doubles every hour. The population at time $$x$$ (in hours) is modeled by the function $$f(x) = 100 \\cdot 2^x$$ , where 100 represents the initial population. What does $$f(3) = 800$$ mean in this context?

After 3 hours, the population is 800, where 3 represents hours, and 800 represents the bacteria count.

After 3 minutes, the population is 800, where 3 represents minutes, and 800 represents the bacteria count.

After 3 hours, the population is 100, where 3 represents hours, and 100 represents the bacteria count.

After 1 hour, the population is 800, where 1 represents hours, and 800 represents the bacteria count.

The amount of radioactive substance remaining after x years is given by $$f(x) = 150(0.5)^x$$ , where 150 grams was the initial amount. What does $$f(5)$$ represent in this context, and what is the meaning of $$x = 5$$ ?

The amount of radioactive substance left after 5 years; x = 5 means that 5 years have passed since the initial measurement.

The amount of radioactive substance added after 5 years; x = 5 means that 5 grams have decayed.

The initial amount of the radioactive substance; x = 5 means 5 grams are left.

The amount of radioactive substance left after 5 grams decay; x = 5 represents 5 grams.

Which of the following statements is true about the graphs of a linear function $$f(x) = mx + b$$ and that of an exponential function $$g(x) = a^x$$ , where $$a > 0$$ and $$a \\neq 1$$ ?

$$f(x)$$ has a constant rate of change while $$g(x)$$ does not

$$g(x)$$ has a constant rate of change while $$f(x)$$ does not

both have constant rates of change

neither has a constant rate of change

A table shows the values of a function $$h(x)$$ at different values of $$x$$ : Based on the values, what type of function is $$h(x)$$ ?

Exponential, because it doubles each time.

Linear, because it increases by 5 each time.

Linear because it has a constant rate of increase.

Exponential, because it adds a constant amount each time.

Given the two functions, $$f(x) = 3x + 5$$ and $$g(x) = 2^x$$ . How do their growth patterns differ as $$x$$ increases?

$$f(x)$$ grows by adding a constant rate, while $$g(x)$$ grows by multiplying by a constant.

Both functions grow at the same time.

$$f(x)$$ grows by multiplying by a constant, while $$g(x)$$ grows by adding a constant rate

Both functions grow by multiplying by a constant.

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x)?

g(x) will eventually exceed the rate of change of f(x).

g(x) rate of change is ALWAYS greater than f(x) rate of change.

g(x) is NEVER greater than f(x) rate of change.

There is not enough information to compare the rate of change of f(x) to g(x).

Unit 6 Overview Practice

Authored by Corry White

Mathematics

9th Grade

CCSS covered

Used 2+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF-IF.C.7E

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The predicted increase in the number of elephants in the region each year.

The predicted number of elephants in the region in 1995.

The year when the elephant population is predicted to stop increasing.

The percentage the elephant population is predicted to increase each year

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What appears to be the domain of the part of the exponential function shown on the grid?

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A part of an exponential function is shown on the grid. Which inequality best represents the range of the part shown?

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF.BF.B.3

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Popular Resources on Wayground

15 questions

Grade 3 Simulation Assessment 1

Quiz

•

3rd Grade

22 questions

HCS Grade 4 Simulation Assessment_1 2526sy

Quiz

•

4th Grade

16 questions

Grade 3 Simulation Assessment 2

Quiz

•

3rd Grade

19 questions

HCS Grade 5 Simulation Assessment_1 2526sy

Quiz

•

5th Grade

17 questions

HCS Grade 4 Simulation Assessment_2 2526sy

Quiz

•

4th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

24 questions

HCS Grade 5 Simulation Assessment_2 2526sy

Quiz

•

5th Grade

20 questions

Math Review

Quiz

•

3rd Grade

Discover more resources for Mathematics

20 questions

Algebra 1 EOC Review 1

Quiz

•

9th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

5 questions

A.F/ST Quizizz Day 1

Quiz

•

9th - 12th Grade

5 questions

G.PC/DF Quizizz Day 2

Quiz

•

9th - 12th Grade

5 questions

A.F/ST Quizizz Day 5

Quiz

•

9th - 12th Grade

15 questions

Combine Like Terms and Distributive Property

Quiz

•

8th - 9th Grade

15 questions

Algebra 1 EOC Review #1

Quiz

•

9th Grade

5 questions

A.F/ST Quizizz Day 3

Quiz

•

9th - 12th Grade

Unit 6 Overview Practice

What appears to be the domain of the part of the exponential function shown on the grid?

A part of an exponential function is shown on the grid. Which inequality best represents the range of the part shown?

Which exponential function represents the graph shown?

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics