Linear Functions
y= mx + b
What does the M and the B represent?
M= slope
B= y-intercept
y=2(3)x
What is the begin, and what is the multiplier?
Start at 2, multiply by 3.
Simplify (x+3)(x+ 2)
x2 + 5x +6
3(x + 5) = 21
x = 2
What room are we in?
b1212
Rearrange 8x +4y = 12 to be in slope intercept
y= -2x + 3
y = 5(.89)x
Does this function represent exponential growth or decay? How do you know?
Decay; .89 is less than 1.
What is the vertex?
y = 2x2 + 4x + 8
(-1, 6)
-3(6x + 1) = 14 - x
-1
Where did Ms Starr go to College
Syracuse University (undergrad)
Boston University (graduate)
Describe how you would graph this
y = -3x + 2
Start at the point (0,2). Down 3 over 1.
The following exponential function represents the value of a car overtime. y = 50,000(.87)x
What is the percent change of the car each year?
Decrease by 13%
What are the x intercepts?
y = x2 - 10x + 16
(2, 0) (8, 0)
1/2(2x+8) = 3x
x=2
How long has Ms. Starr been teaching at CHS?
If you graphed the two lines y = 2x + 4 and y = 2x + 8 would they have a solution? Why or Why not
No, same slope would mean parallel lines.
Which one is an exponential function AND how do you know?
a) y = 5x - 7
b) y = 5x2 - 7
c) y = 5(7)x
c- x is the exponent
Factor the following 2x2 +6x - 8
(2x-2)(x+4)
What is the solution?
y= 5x - 8
y = 2x + 4
(4, 12)
What color eyes does Ms. Starr have?
green
On the second day Eduardo had 7 apples, on the fifth day 13 apples. Assuming this is a linear function, what would be the equation?
y=2x+ 3
(5x7)2
25x14
Axis of Symmetry
Vertex
y- intercepts
x- intercepts
35x+7= 93x
x = 7
Where does Ms. Starr keep her pencil?