Functions
The domain is the __ coordinate
x
What test can you use to determine whether a function is linear, draw an example.
Vertical line test
f(x)= -3x + 5 when x=2
f(x)= -1
Find the x and y intercept
-3x+2y= -12
x=4
y=-6
Find the slope
(-3, 1) (2,-2)
slope = -3/5
How can you determine if a relation is a function?
If the x doesn't repeat itself
Is the function linear? Explain
x -1 4 9 4
y -2 -4 -6 -8
No, the pattern is inconsistent
p(x)= -3 + 4x when x=-2
p(x)= -11
Find the x and y intercept
4x-3y=24
x=6
y=-8
Find the slope
x -9 -5 -1 3
y -2 0 2 4
slope = 1/2
Is the relation a function, and why?
x 1 3 -1 4
y 2 2 3 4
Yes, x doesn't repeat
Is the function linear? Explain
x -1 -3 -5 -7
y 2 3 4 5
Yes, there is a consistent pattern
n(x)= -1 - x +4 when x=-2
n(x)= 5
Find x and y intercept and graph
-2x-4y=16
x=-8
y=-4
Find the slope and y-int
-10x+5y=-15
s= -2
y=-3
Is the relation a function? Explain
x 1 2 3 4 1
y 1 2 3 4 4
No, 1 repeats
m(x)= 4x + 15
x=-2
Find x and y intercept and graph
3y-5x=15
x=-3
y=3
Find the slope and y intercept
-4x=-2y+6
s= 2
y=3
What's the another name for the y coordinate in a function other than output
Range
k(x)= 6x-12 when k(x)= 18
x= 5
Find the slope and y intercept...and graph
12x=-2y+4
S= -6
y=2