Linear vs Exponential Part 1

Presentation

•

Mathematics

•

11th Grade

•

Medium

•

CCSS

6.NS.B.3, HSF-LE.A.1A, HSF.BF.A.2

Standards-aligned

Paul Sexton

Used 87+ times

FREE Resource

3 Slides • 12 Questions

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.

Multiple Choice

Is the pattern adding/subtracting or multiplying/dividing?

adding/subtracting

multiplying/dividing

Multiple Choice

Is the function linear or exponential?

linear

exponential

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

Use Desmos if you need to!

Multiple Choice

What is the common ratio or "b" value?

(Use Desmos if you need to!)

Divide 27/9 and 9/3.

1/3

Multiple Choice

What is the common ratio or "b" value?

(Use Desmos if you need to!)

Divide 32/16 and 16/8

$\frac{1}{2}$

Multiple Choice

What is the common ratio or "b" value?

(Use Desmos if you need to!)

Divide 5/10 and 10/20

$\frac{1}{2}$

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

- This also means that the "a" value is 8.

- This also means that the "a" value is 2.

Match

Match each table with the correct "a" value.

1/3

Multiple Choice

Is the pattern adding/subtracting or multipying/dividing?

adding/subtracting

multipying/dividing

Multiple Choice

Is the linear or exponential?

linear

exponential

Multiple Choice

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

1/3

Multiple Choice

Is the function linear or exponential?

linear

exponential

Multiple Choice

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

1/2

Multiple Choice

What is the common ratio or "b" value?

(Use Desmos if you need to!)

1/2

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.

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