Is it a function?
What is a function?
A function is a relation where every input has exactly one output.
Find the slope with the points below.
(3,12) (21,66)
m = 3
Identify the y-intercept.
y = 6x - 4
b= -4
Solve.
f(x) = 6x + 2
f(-5)= ?
f(-5)= -28
What does the x in f(x) mean?
Input
Is this a function?
{(-1,-2),(0,-1),(-2,0)}
Yes, each input has exactly one output.
Find the slope
x-values: (-8, 0, 3)
y-values: (83, -5, -38)
m = -11
Find the y-intercept given this set of numbers.
{(-2,1), (0,5), (2,9)}
b= 5
g(x) = 2x + 8; h(x) = x + 8; f(x) = -6x+6h
h(5) =
h(5) = 13
When the input is (5) the output is (13).
What does the y-intercept represent?
The value of y when x = 0.
It is the initial value; the starting point.
What do you use to check if a graph is a function?
Vertical line test
At 2 hours, a car has traveled 5 miles. At 6 hours, it has traveled 13 miles. What is the rate of change in miles per hour?
(Hint: There are two points given to you.)
m = 2
Find the y-intercept given the table below.
x: (2, 4, 6)
y: (7, 11, 15)
b= 3
p(x) = 6x + 30
p(x) = 20
p(x) = -5/3
When the input is (-5/3) the output is (20).
What is slope?
The rate of change; how much y changes each time x changes.