y=1/3x+2
1/3
Domain?
(2, 4) (-6, 3) (0, -5) (-3, 5)
{-6, -3, 2, 0}
How do you tell if a table is a function?
Cheating X's
If a line is linear it is ___________.
Straight
What does m stand for?
slope
Graph
1/2
Range?
(2, 4) (-6, 3) (0, -5) (-3, 5)
{-5, 3, 4, 5}
How do you tell if a graph is a function?
Vertical Line Test
y=3x+2
Linear
what does b stand for?
y-intercept
(2,0) (3, 4)
4/1 or 4
What is the domain and range of the table?
x y
1 3
2 6
3 9
Domain={1, 2, 3}
Range={3, 6, 9}
Is the table a function?
x y
1 2
2 4
3 6
Yes
y=3/x -8
nonlinear
Two other names for X and two other names for Y.
x --> Domain or input
Y--> Range or output
What is the slope of the table?
x y
-1 0
0 3
1 6
3/1 or 3
Domain?
(2, 4) (-6, 3) (2, -5) (-3, 5)
{-6, -3, 2}
Is the graph a function?
Yes
y=3x2 - 4
nonlinear
Disney World has let 400 people into the park so far. They can let in 30 people every 150 seconds. Write a linear equation for this situation.
y=30/150x+400 or
y = 1/3x+400
(-5, -7)(-4, -2)
5
Range?
(2, 4) (-6, 4) (2, -3) (-3, 3)
{-3, 3, 4}
To be a function, every ___________ gives back exactly one __________.
input; output
What two things make an equation nonlinear?
dividing by a variable
exponents
Complete the table if y=4x-3
x
-1
0
1
2
y
-7
-3
1
5