Lesson: Function to Table Relationship

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Want to Buy Some Chocolate

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One of Gassler's Favorite Candies

Function to Table Relationship

Objective: Identify the relationship between functions and their table of values.​

Math Response

If $$f\left(x\right)=\frac{1}{3}x+5$$ , find f(9).

Type answer here

Correct Answer: 8

Deg^°

Rad

​Functions and Tables

​Every function can generate a table of values.

Linear Function Example

f(x) = -3x + 4

Labelling

Given f(x) = -5x - 3, fill in the table of values.

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0

-13

3

7

-3

-7

-2

-15

2

-8

Linear Function Example

Labelling

Given $$f\left(x\right)=\frac{1}{4}x+3$$ , fill in the table of values.

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2

7

-1

-4

-5

3

0

1

-7

6

Quadratic Function Example

​f(x) = x² - 2x + 6

Labelling

Given f(x) = x² + 2x - 7, fill in the table of values.

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-10

0

-8

8

17

-4

24

-22

-7

1

Exponential Function Example

​f(x) = 3^x

Labelling

Given f(x) = 4^x, fill in the table of values.

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0

8

-12

1

16

256

-4