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Functions

100

The domain is the __ coordinate

x

200

How can you determine if a relation is a function?

If the x doesn't repeat itself

300

Is the relation a function, and why?

x 1 3 -1 4

y 2 2  3  4

Yes, x doesn't repeat

400

Is the relation a function? Explain

x 1 2 3 4 1

y 1 2 3 4 4

No, 1 repeats

500

What's the another name for the y coordinate in a function other than output

Range

Linear Functions

100

What test can you use to determine whether a function is linear, draw an example.

Vertical line test

200

Is the function linear? Explain

x -1  4   9   4

y -2 -4 -6 -8

No, the pattern is inconsistent 

300

Is the function linear? Explain

x -1 -3 -5 -7

y  2   3   4   5

Yes, there is a consistent pattern

Solving Function

100

f(x)= -3x + 5    when x=2

f(x)= -1

200

p(x)= -3 + 4x      when x=-2

p(x)= -11

300

n(x)= -1 - x +4     when x=-2

n(x)= 5

400

m(x)= 4x + 15

x=-2

500

k(x)= 6x-12   when k(x)= 18

x= 5

Finding x and y intercept

100

Find the x and y intercept 

-3x+2y= -12

x=4

y=-6

200

Find the x and y intercept

4x-3y=24

x=6

y=-8

300

Find x and y intercept and graph

-2x-4y=16

x=-8

y=-4

400

Find x and y intercept and graph

3y-5x=15

x=-3

y=3

Slope

100

Find the slope

(-3, 1) (2,-2)

slope = -3/5

200

Find the slope 

x -9 -5 -1  3

y -2  0  2   4 

slope = 1/2

300

Find the slope and y-int

-10x+5y=-15

s= -2

y=-3

400

Find the slope and y intercept

-4x=-2y+6

s= 2

y=3

500

Find the slope and y intercept...and graph

12x=-2y+4

S= -6

y=2