Linear or Exponential?

Linear or Exponential?

Presentation

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

8.F.A.3, HSF.LE.A.2, HSF-IF.C.7E

+2

Standards-aligned

Created by

SARA E RAWLINSON

Used 4+ times

FREE Resource

5 Slides • 40 Questions

1

Is it Linear or Exponential?

Before you begin this practice... you will want to have out the notes from Friday.

They are titled, "Linear vs. Exponential"

If you were absent, the next four slides should help guide you through this practice.

When in doubt, please refer back to the first four slides for help.

2

Is it Linear or Exponential?

When given a table, look for a common difference or a common ratio.

- If the pattern is add/subtract, the function is linear.

- If the pattern is multiply/divide, the function is exponential.

Examples:

Since the pattern is adding, the function is linear.

Since the pattern is multiplying, the function is exponential.

3

Finding the Common Ratio

To find the common ratio or "b" value, simply divide the last number by the previous number

For Example:

Therefore, the common ratio or"b" value is 2.

The multiplier is 2!

4

Finding the "a" value or y-intercept

To find the y-intercept, just look for the x-value of zero and the corresponding y-value is the y-intercept.

Examples:

The y-intercept here is 8

The y-intercept here is 2

5

Writing the "rule" or equation

Once we now what the "a" and "b" values are, we can write the equation that represents the function.

For Example:

We found earlier that

a = 8

b = 2

- We use the template: y = a(b)^x

y = 8(2)^x

6

Multiple Choice

Question image

Is the equation linear or exponential?

1

Linear Equation

2

Exponential Equation

7

Multiple Choice

Question image

Is the equation linear or exponential?

1

Linear Equation

2

Exponential Equation

8

Multiple Choice

Question image

Is the equation linear or exponential?

1

Linear Equation

2

Exponential Equation

9

Multiple Choice

Question image

Is the equation linear or exponential?

1

Linear Equation

2

Exponential Equation

10

Multiple Choice

Question image

Is the equation linear or exponential?

1

Linear Equation

2

Exponential Equation

11

Multiple Choice

Question image

Is the graph linear or exponential?

1

Linear Graph

2

Exponential Graph

12

Multiple Choice

Question image

Is the graph linear or exponential?

1

Linear Graph

2

Exponential Graph

13

Multiple Choice

Question image

Is the graph linear or exponential?

1

Linear Graph

2

Exponential Graph

14

Multiple Choice

Question image

Is the graph linear or exponential?

1

Linear Graph

2

Exponential Graph

15

Multiple Choice

Question image

Is the graph linear or exponential?

1

Linear Graph

2

Exponential Graph

16

Multiple Choice

Question image

Is the table linear or exponential?

1

Linear Table

2

Exponential Table

17

Multiple Choice

Question image

Is the table linear or exponential?

1

Linear Table

2

Exponential Table

18

Multiple Choice

Question image

Is the table linear or exponential?

1

Linear Table

2

Exponential Table

19

Multiple Choice

Question image

Is the table linear or exponential?

1

Linear Table

2

Exponential Table

20

Multiple Choice

Question image

Is the table linear or exponential?

1

Linear Table

2

Exponential Table

21

Multiple Choice

Question image

Is the table linear or exponential?

1

Linear Table

2

Exponential Table

22

Multiple Choice

Question image

Is the situation linear or exponential?

1

Linear Situation

2

Exponential Situation

23

Multiple Choice

Question image

Is the situation linear or exponential?

1

Linear Situation

2

Exponential Situation

24

Multiple Choice

Question image

Is the situation linear or exponential?

1

Linear Situation

2

Exponential Situation

25

Multiple Choice

Question image

Is the situation linear or exponential?

1

Linear Situation

2

Exponential Situation

26

Multiple Choice

Linear or Exponential?

A virus infected double the population every day.

1

Linear

2

Exponential

27

Multiple Choice

Linear or Exponential?

Maria's capacity to learn a lesson triples every week.

1

Linear

2

Exponential

28

Multiple Choice

Question image

Linear or Exponential?

1

Linear

2

Exponential

29

Multiple Choice

Question image

Linear or Exponential?

1

Linear

2

Exponential

30

Multiple Choice

Linear or Exponential?

1, 4, 16, 64, ...

1

Linear

2

Exponential

31

Multiple Choice

Linear or Exponential?

4, 8, 12, 16, ...

1

Linear

2

Exponential

32

Multiple Choice

Linear or Exponential?

$40,\ 20,\ 10,\ 5,\ ...$

1

Linear

2

Exponential

33

Multiple Choice

Question image

Is the pattern adding/subtracting or multiplying/dividing?

1

adding/subtracting

2

multiplying/dividing

34

Multiple Choice

Question image

Is the function linear or exponential?

1

linear

2

exponential

35

Multiple Choice

Question image

What is the common ratio or "b" value?

1

3

2

1/3

3

9

4

2

36

Match

Match each table with the correct "a" value.

3

5

2

1/3

3

5

2

1/3

37

Multiple Choice

Question image

What is the y-intercept or "a" value?

1

1/3

2

1

3

3

4

9

38

Multiple Choice

Question image

What is the equation that models the data in the table?

Use the formula: y=a(b)^x

1

y = 3(3)^x

2

$y=\frac{1}{3}\left(3\right)^x$

3

$y=\left(\frac{1}{3}\right)^x$

4

y = 3^x

39

Multiple Choice

Question image

Is the pattern adding/subtracting or multiplying/dividing?

1

adding/subtracting

2

multiplying/dividing

40

Multiple Choice

Question image

Is the function linear or exponential?

1

linear

2

exponential

41

Multiple Choice

Question image

What is the common ratio or "b" value?

1

1/2

2

2

3

4

4

8

42

Multiple Choice

Question image

What is the y-intercept or "a" value?

1

1/2

2

2

3

4

4

8

43

Multiple Choice

Question image

What is the equation that models the data in the table?

1

$y=2^x$

2

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

3

$y=4\left(2\right)^x$

4

$y=2\left(4\right)^x$

44

Multiple Choice

Question image

What type of function is pictured?

1

Linear

2

Exponential

3

Neither

45

Multiple Choice

Question image

Is the graph illustrating a linear function, exponential function, or neither?

1

Linear

2

Exponential

3

Neither

pattern-tertiary

Is it Linear or Exponential?

Before you begin this practice... you will want to have out the notes from Friday.

They are titled, "Linear vs. Exponential"

If you were absent, the next four slides should help guide you through this practice.

When in doubt, please refer back to the first four slides for help.

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