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Review Write as ax + b = 0 and then as y = ax + b. 5x + 2 = 8

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Presentation on theme: "Review Write as ax + b = 0 and then as y = ax + b. 5x + 2 = 8"— Presentation transcript:

1 Review Write as ax + b = 0 and then as y = ax + b. 5x + 2 = 8
Solve algebraically and then graph. 6x + 3 = -9

2 4.8 Functions and Relations

3 Notes Function: input (x) has exactly one output (y).
Relation: pairing of numbers in a set. Domain: x coordinate, input, independent Range: y coordinate, output, dependent Function: input (x) has exactly one output (y). 2 ways to tell if function Mapping diagram Vertical line test

4 Does the graph represent a function?

5 Does the graph represent a function?

6 Is the relation a function?

7 Is the relation a function?

8 Information Function notation: remove y, replace with f(x)
f(x) means f of x

9 Function Notation Given g(x) = 4x – 5. Find values.
g(x) when x = 2 g(-10) x when g(x) = 19 g(x) when x = -1

10 Function Notation Given f(x) = -3x + 1. Find values.
f(x) when x = -1 f(x) when x = 5 x when f(x) = -17 f(-20)

11 Graph the function F(x) = 2x - 5 G(x) = 2/3x - 1

12 Graph the function F(x) = -4x + 3 G(x) = 1/2x + 2

13 Find the slope of the function
F(2) = 4, F(0) = 6 F(-1) = -4, F(-2) = 0

14 Find the slope of the function
F(1) = 3, F(3) = 7 F(-3) = 7, F(2) = -3

15 Wrap up Questions/Comments Hw: text pg. 259, #’s: 2-48 evens


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