Relations & functions
what do functions pass?
Vertical line test
f(3)=10
what is the input?
3
identify the zeros of the graph on the board
x = 3
is this an arithmetic sequence?
3, 6, 9, 15.......
NO
what is the x-axis on a graph called when dealing with a function?
Domain
in order for it to be considered a function what cannot repeat?
f(x) is the_______
x is the _________
output
input
f(x) = 1/2x -32
1/2x - 32 = 0
x = 64
what does a1 show?
the first term
use the function to complete the table; y= x + 4
x y
-5
-4
-2
x y
-5 -1
-4 0
-2 2
what axis represents Range
y-axis
F(x) = 6 - 2x
if f(x) = 12, find x
6 - 2x = 12
x = -3
f(x) = 10x + 30
10x + 30 = 0
x = -3
find the next three terms
10, -2, -14, ___, ____, _____
10, -2, -14, -26, -38, -50
A graph where there are only points are called what?
Discrete
(-3,2),(5,-1),(0,3),(-3,6)
Identify the Domain and Range
D: (-3, 0, 5)
R: (-1, 2, 3, 6)
F(x)=3x-8; f(-3)
f(-3)=3(-3)-8
=-9-8
=-17
what are zeros? *think of the points they touch
points on the graph that cross the x-axis
what is the formula for finding the nth term?
an = d (n-1) + a1
We can represent a function in three ways, what are they?
Table
Mapping
Graph
find the domain and range of the function on the board
D: all real
R: 5 > y
f(x)= 8-3x
g(x)= x2+2x
find f(4)+g(2)*4
f(4)=8-3(4) = 8-12 = -4
g(2)=(2)2+2(2) = 4+4 = 8
-4 + 8 * 4 = 28
what are zeros also called
roots, x- intercepts, solutions
write the rule for the nth term, then find a30
8, 14, 20, 26,.........
a1= 8
d= 6
an = 6(n - 1) + a1
= 6n + 2
a30 = 6(30) +2 = 182
Alex walked up a hill at a steady rate, then ran down the hill very quickly. Graph time on the x-axis and distance on the y-axis
*Look at board*