C Graphing Functions.

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Presentation transcript:

c Graphing Functions

I Do: y = 2x + 2 Step 1: Complete the function table for the given equation. Input x 1 2 3 4 Output y 6 8 10 4 y = 2x + 2 y = 2x + 2 y = 2x + 2 y = 2x + 2 y = 2(4) + 2 y = 2(2) + 2 y = 2(3) + 2 y = 2(1) + 2 y = 4 + 2 y = 6 + 2 y = 8+ 2 y = 2 + 2 y = 8 y = 10 y = 6 y = 4

Step 2: Use the table to write the ordered pairs. y = 2x + 2 Input x 1 2 3 4 Output y 4 6 8 10 (___ , ____) (___ , ____) (___ , ____) (___ , ____) x y x y x y x y 1 4 2 6 3 8 4 10

1 4 2 6 3 8 4 10 Step 3: Graph the ordered pairs and label each point. (___ , ____) (___ , ____) (___ , ____) (___ , ____) 1 4 2 6 3 8 4 10 Run before you jump (4 , 10) (3 , 8) (2 , 6) x before y (1 , 4)

y = x - 5 5 6 7 8 1 2 3 y = x - 5 y = x - 5 y = x - 5 y = x - 5 I Do: y = x - 5 Step 1: Complete the function table for the given equation. Input x 5 6 7 8 Output y 1 2 3 y = x - 5 y = x - 5 y = x - 5 y = x - 5 y = 8 - 5 y = 5 - 5 y = 6 - 5 y = 7 - 5 y = 3 y = 0 y = 1 y = 2

Step 2: Use the table to write the ordered pairs. y = x - 5 Input x 5 6 7 8 Output y 1 2 3 (___ , ____) (___ , ____) (___ , ____) (___ , ____) x y x y x y x y 5 6 1 7 2 8 3

5 6 1 7 2 8 3 Step 3: Graph the ordered pairs and label each point. (___ , ____) (___ , ____) (___ , ____) (___ , ____) 5 6 1 7 2 8 3 Run before you jump x before y (8, 3) (7, 2) (6, 1) (5, 0)

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c Function Tables, Coordinate Graphing Oh My! Part 2

How can I write the rule using symbols and numbers instead of words? I Do: Step 1: Write an equation for rule. Then complete the function table. Rule: Multiply by 3 Equation: y= 3x How can I write the rule using symbols and numbers instead of words? I know that “multiply” can be replaced with a an “x” or a “●” or the number can be right next to the variable and that means multiply. Input x 3 4 5 6 Output y 9 12 15 18 y= 3x y= 3(3) y= 3 ● 3 y= 9 y= 3x y= 3(4) y= 3 ● 4 y= 12 y= 3x y= 3(5) y= 3 ● 5 y= 15 y= 3x y= 3(6) y= 3 ● 6 y= 18

Step 2: Use the table to write the ordered pairs. y = 3x Input x 3 4 5 6 Output y 9 12 15 18 (___ , ____) (___ , ____) (___ , ____) (___ , ____) x y x y x y x y 3 9 4 12 5 15 6 18

Step 3: Graph the ordered pairs and label each point. (___ , ____) (___ , ____) (___ , ____) (___ , ____) 3 9 4 12 5 15 6 18 (6, 18) (5, 15) Run before you jump (4, 12) (3, 9) x before y

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