Exponential Functions

Presentation

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.8B, HSF.LE.A.2, HSF.LE.B.5

Standards-aligned

Margaret McDade

Used 182+ times

FREE Resource

5 Slides • 18 Questions

Exponential Functions

Multiple Choice

What type of pattern do exponential functions have?

Adds by the same number every time

Multiplies by the same number every time

Square roots all the inputs

Squares all the inputs

Multiple Choice

What type of pattern do linear functions have?

Adds by the same number every time

Multiplies by the same number every time

Square roots all the inputs

Squares all the inputs

Multiple Choice

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

SLOPE

RATE OF CHANGE

Y-INTERCEPT

COMMON RATIO

Multiple Choice

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

Slope

Rate of change

Y-intercept

Multiplier

Multiple Choice

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

(.27)^x

.27

3.51

Multiple Choice

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

300

1.16

.16

Multiple Choice

Identify the initial value:

y = 6.87 (4)^x

a = 4

a = 6.87

a = 3

a = 1

Multiple Choice

Which of the following is an increasing exponential function whose y-intercept is 50?

y = 50(.05)^x

y = 50x - 4

y = (2)^x + 50

y = 50(1.4)^x

If the ( ) are bigger than 1 it is growth. If the ( ) are smaller than 1 it is decay.

Multiple Choice

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

Growth

Decay

Linear

None

Multiple Choice

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

Growth

Decay

Linear

None

Multiple Choice

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

Exponential Decay

Exponential Growth

Multiple Choice

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

Increasing

Decreasing

Multiple Choice

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

Exponential Growth

Exponential Decay

Multiple Choice

Is this exponential growth or decay?

Growth

Decay

Finding the rate of growth or decay from an equation

Is your 'b' bigger than 1? How much bigger? Times that # by 100 to get your %
Is your 'b' smaller than 1? How much smaller? (1-b)? Times by 100 to find your %

Multiple Choice

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

Multiple Choice

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

87%

13%

800%

8.7%

Writing an Exponential Function

Your initial amount is always the starting #
( 1 plus or minus....
divide the % by 100 to find the rate )
exponent is always time

Multiple Choice

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

y=6(0.14)^x

y=6(1+14)^x

y=6(1.14)^x

y=6(0.86)^x

Multiple Choice

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

f(x)=400(1+3)^x

f(x)=400(1-0.03)^x

f(x)=400(1+0.03)^x

f(x)=400(0.03)^x

Exponential Functions

Show answer

Auto Play

Slide 1 / 23

SLIDE

Similar Resources on Wayground

18 questions

Razones y Proporciones II

Presentation

•

9th Grade

16 questions

Combining Like Terms with Exponents

Presentation

•

9th Grade

20 questions

Quadratic Functions

Presentation

•

9th Grade

20 questions

Function Notation

Presentation

•

9th Grade

19 questions

Adding & Subtracting Polynomials LESSON

Presentation

•

9th Grade

17 questions

Using Point-Slope to Write Slope-Intercept Form

Presentation

•

9th Grade

19 questions

Parallel and Perpendicular Lines Review

Presentation

•

9th Grade

17 questions

Horizontal and Vertical Lines LIVE

Presentation

•

9th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

12 questions

Absolute Value Equations

Quiz

•

9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

11 questions

Slope from 2 points

Quiz

•

8th - 9th Grade

10 questions

Exploring the Basics of Exponents

Interactive video

•

6th - 10th Grade

10 questions

Solving Absolute Value Equations

Quiz

•

9th Grade

18 questions

SB 12.2 Write in point slope form

Quiz

•

9th Grade

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade