Download Happy Monday

HAPPY MONDAY
MAY 2ND, 2016
Please take out the HW from Friday and a
correcting pen.
(wksht 11 systems)
You will need your notebook too.
Functions
We write functions a little differently than regular equations.
f(x) = 15x
f(x) is read the function of x The input x is any
or f of x. It is the output or
range value.
number. It is the domain.
Function Notation
Find f(4) for f(x) = 2x + 1 means
What is the value of the function
when x = 4.
In this example you replace x in
the equation with 4.
f(x) = 2(4) +1
9
f(4) = 9
Find f(6) for f(x) = 2x + 1 means
What is the value of the function
when x = 6.
In this example you replace x in
the equation with 6.
f(x) = 2(6) +1
13
f(6) = 13
Find f(10) for f(x) = 2x +1
f(x) = 2(10) +1
f(10) = 21
Therefore f(10) = 21
We input 10 and the output is 21.
Writing a Function Rule
Given the table, create the equation (rule)
+2
+2
Input
Output
-4
1
-2
3
+2
Steps:
1.) Find the pattern in the
change in input and output
2.) Put change in output
over the change in input
2/2 = 1 = m
3.) find the 0 in the input
(x). The corresponding
output (y) is the yintercept
+2
0
5
2
7
+2
+2
4.) Put your m and b into:
y = mx + b
y = 1x + 5
5.) Check your answers by choosing any pair of
points and see if it works.
y = 1x + 5
1 = 1(-4) + 5
1 = -4 + 5
1=1
Your Turn
Write a function rule that relates x to y.
Input
Output
-1
5
Output pattern: +2
Input pattern: +1
m=2
Y = mx + b
Y = 2x + b
7=b
Equation: y = 2x + 7
0
7
1
9
2
11