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# GRAPHING FUNCTIONS

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## Emily Rodriguez

on 28 January 2013

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#### Transcript of GRAPHING FUNCTIONS

0 + - = 9 8 7 1 2 3 4 5 6 c EXAMPLE #2 F(x)=2x+1. Find the range. Domain: -2, 0, 5.
EXAMPLE #3 VOCABULARY QUIZ QUIZ ANSWERS 1. Domain: -6, -4, -2, 0, 2 Range: 8, 2, -4, -10, -16

2. Yes, it's a function because it's a relation that assigns exactly one value in the range to each value of the domain.

3. An equation that describes a function.

4. Inputs are variables. Outputs are corresponding values.

5. Range: -5, -1, 3, 7, 11

6. When you use f(x) to indicate outputs. EXAMPLE #1 Graph the function y=[x]+1. Then find the domain & range. Make a table of values, then graph the data. FUNCTION RULES, TABLES, & GRAPHS Graphed Data- Ex #1 By Emily Rodriguez & Maiya Wooliver FUNCTION RULE- an equation that describes a function.

FUNCTION NOTATION- when you use f(x) to indicate outputs.

INDEPENDENT VARIABLE- variables are inputs.

DEPENDENT VARIABLE- corresponding values are outputs

DOMAIN- (x)

RANGE- (y)

FUNCTION- (x,y) X f(x)=|x|+1 [x,f(x)] -3

-1

0

1

3 |-3|+1=4

|-1|+1=2

|0|+1=1

|1|+1=2

|3|+1=4 (-3,4)

(-1,2)

(0,1)

(1,2)

(3,4) . . . . . INPUT OUTPUT FUNCTION RULE INPUT VALUES FOR X OUTPUT VALUES FOR Y 4x+5 The domain is the set of input values.
The range is the set of output values. y= 4x+5 DOMAIN RANGE INPUT OUTPUT x x f(x) y INPUT OUTPUT x y 1 2 3 9 13 17 output input 4(1)+5=9
4(2)+5=13
4(3)+5=17 y=x+1

Domain Range (x,y) -2
-1
0
1
2 y=-2+1=-1
y=-1+1=0
y=0+1=1
y=1+2=3
y=2+3=5 (-2,-1)
(-1,0)
(0,1)
(1,3)
(2,5) . . . . . A Function Domain Range (x,y) -2
-1
0
1
2 4
4
4
4
4 (-2,4)
(-1,4)
(0,4)
(1,4)
(2,4) y=4 . . . . . Not A Function Evaluate f(x)=-3x-10 for x=6. Substitute 6 for x. Simplify. f(x)=-3-10
f(6)=-3(6)-10
f(6)=-18-10
f(6)=-28 1. f(x)=-3-10. Identify the domain & range.

2. y=x+2. Domain: -2, -1, 0 , 1, 2 Range: 4, 3, 2, 1, 0. Graph to see if it's a function. Explain why or why not.

3. What is the function rule?

4. What's the difference between inputs & outputs?

5. f(x)=4x+3. Domain: -2, -1, 0, 1, 2. Find the range.

6. Explain what a function notation is.

7. How do we make tables and graph functions? 2(-2)+1= -3
2(0)+1=1
2(5)+1=11 domain range -2
0
5 -3
1
11
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