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All Things Graphical!
100

2x+5=17

x=6

100

What circle should you use for x>4 (open or closed)

Open Circle 

100

The complete set of all possible input values in a function. 

Domain 

100

f(x)=x+3 find f(2)

f(2)=5

100

Does this graph represent a function ?

Yes, this graph passes the vertical line test!

200

3x-7=2x+5

x=12

200

Solve and describe the number line for

 2x+3<11

x<4 open circle at 4 shaded to the left

200

The relation or rule that assigns each input exactly one output. 

Function 

200

f(x)=2x-1 find f(5)

f(5)=9

200

Identify the domain

-4<=x<=6

300

4(x-3)+2=18

x=7

300

Solve and describe the number line for 

-2(4n-5)>=58

n<=-6 

300

Where any vertical line drawn on the graph will pass through exactly one point.

Vertical Line Test.

300

f(x)=7(x-5)+3 find f(4)

f(4)=-4

300

Identify the Range

0<=y<=infinity

400

5(2x-3)-4=3x+12

x=5

400

Solve and describe the number line for 

-6x-4<=2(x-10)

2<=x

400

This test can be used to know if a function is one-to-one

Horizontal Line Test

400

f(x)=2x+6 find f(x)=4

f(-1)=4

400

Is this function one-to-one ?

No, this graph fails the horizontal line test!

500

3(2x-5)+4=2(x+7)+5x

x=-4

500

Solve and describe the number line for 

2(x+1)>3(2x-4) 

x<7/2

500

We say this to describe the domain or range when any real value can be used. 

All Real Numbers 

500

f(x)=3(x-5)-7 find f(x)=20

f(14)=20

500

Is this a function? What is the domain and range?

No this is not a function. The domain is 0<=x<=infinity. The range is -infinity<=y<=infinity

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