Function Notation (Tables and Graphs)
Function Notations (Equations)
Arithmetic Sequences
Calculate Slope (table and graphs)
Calculate Slope (two points)
100
f(3) = _____
f(3) = -7
100
m(x) = 3x + 1
m(5) =
3(5) + 1
m(5) = 16
100
8,10,12,14,16
Arithemtic or no? If yes, what is the COMMON DIFFERENCE?
Yes, +2
100
What is the equation for finding slope?
y - y
x - x
100
(1, -19) (-2, -7)
-4
200
f(_____) = 8
f(-2) = 8
200
p(x) = -2x + 5
p(-3)
-2(-3) + 5
p(-3) = 11
200
200,140,80,20,-40,-100
What is the first term?
What is the common difference?
First term: 200
difference = -60
200
From x = 4 to x = 6
(4, 7)
(6, 13)
6/2 = 3
200
(5, 1) (9, 4)
3/4
300
f(1) =
f(1) = -3
300
r(x) = 3x - 5
r(x) = 10
(Find x)
3x - 5 = 10
x = 5
300
-8, 2, 12, 22...
Write the explicit formula.
an = a1 + d(n - 1)
an = -8 + 10(n - 1)
300
From x = -2 to x = 3
(-2, 8)
(3, -7)
-15
+5
-3
300
(-10, 6) (-4, 8)
2/6 = 1/3
400
f(x) = -4
f(0) = -4
400
h(x) = x - 4
g(x) = 2x + 1
Find h(3) AND g(3)
*COMPARE*
h(3) = 3 - 4 = -1
g(3) = 2(3) - 1 = 5
g is positive and h is negative
g is more than h
400
Find the 11th term
6, 13, 20, 27…
6+7(n-1)
6+7(11-1)
76
400
Find slope between x = -4 and x = 1
(-4, -5)
(-1, 4)
9/3 = 3
400
(-3, -2) (1, 6)
8/4 = 2
500
f(x) = 0
(multiple answers)
f(-2) = 0 AND f(2) = 0
(-2,0) and (2,0)
500
f(x) = 4x - 1
g(x) = 2x + 3
find f(x) = 19 AND g(x) = 19
*Compare*
4x - 1 = 19
x = 5 for f(x)
2x + 3 = 19
x = 8 for g(x)
g was greater than f.
500
Given
5, 7, 9, 11...
When will the TERM = 31
5 + 2(n-1) = 31
5 + 2(14 - 1) = 31
n = 14
500
From x = 0 to x = 3
(0, 5)
(3, 3)
-2 / 3
500
(4, 6) (-3, 6)
0