Equations and Ordered Pairs
One way to find ordered pairs is from an equation that have...?
x and y variables
A function is a group of ordered pairs where NO two ordered pairs have the same...?
x value
____ ____is a way to write an equation that is a function.
function notation
The symbol f(x) means...?
Function of x
Look at the graph on the board. Using the straight line test, is it a function?
Yes
__is the first number in the ordered pair, and __ is the second number in the ordered pair.
x and y
Each value of X only had ONE value of...?
Y
Solve for the ordered pair:
f(3) when f(x) = x2 - 2
(3,7)
Am I a function?
(3,5)
(7,-2)
(6,8)
(-3, 0)
(-9,2)
(3,3)
Not a function
Find the ordered pair:
f(-3) when f(x) = -9 + x
(-3,-12)
if x = 8, solve the equation and write the ordered pair:
y= 2(8)+4
(8,20)
Function or not a function?
(1,9) (4,6) (8,5) (2,4) (7,0)
function
Solve for the ordered pair:
f(x) = -1(x - 2)
f(-1) = -1(-1 - 2)
(-1,3)
f(5) when f(x) = 5 + x
(5,10)
Look at the graph on the board. Using the straight line test, is it a function?
No
Solve and find the ordered pair:
if x=10, then y=-2(x)+8
(10,-12)
Function or not a function?
(-2,6) (9,4) (-4,9) (7,3) (-2,9)
not a function
Solve for ordered pair:
f(-2) when f(x) = 3 – x
(-2,5)
(3, -4), (4, -3), (5, -2), (6, -1), (7, 0)
Domain:
Range:
3,4,5,6,7
-4,-3,-2,-1,0
Find the ordered pair:
f(0) when f(x) = 6x + (-20)
(0,-20)
Solve and find all ordered pairs: Y=10-x
x=-1
x=0
x=1
(-1,11) (0,10) (1,9)
You can use the _____ _____ _____ to see if the ordered pairs form a function.
vertical line test
Solve for the ordered pair:
f(8) when f(x) = 4(x – 2)
(8,24)
12c+4: solve for c
c=8
c=5
c=14
c=100
100 64 172 1204
Solve for Y and find the ordered pairs:
Y=x^2+x
x=0
x=4
x=8
x=12
(0,0) (4,20) (8,72) (12,156)