Sequences
Equations/Inequalities
Linear Functions
Exponential Functions
Features of Functions
100
Find the common difference of the following sequence.
-5, -4.5, -4, -3.5,...
+0.5
100
Solve
3x = 27
x = 9
100
What is the equation in slope-intercept form for a linear function? Define the parts of the equation.
What is...
y = mx +b ; where m=the slope and
b=the y-intercept, or the initial value.
100
What do a and b represent in the equation y=a(b)x ?
a = 0 term or y-intercept
b = common ratio or multiplier
100
What is f(-2) When f(x) = 7x+3
f(-2) = -11
200
Find the explicit formula of the sequence
-16, -13, -10, -7, -4...
y=3x-19
200
5x +8 = 93
x = 17
200
Identify the slope and the y-int
y=-4x+8
y-int: 8
slope: -4
200
Given the function f(x)=3(2)x will it be exponential Growth or decay? why?
Growth as what we are multiplying by is greater than 1
2>1
200
Given f(x)=3x-8 , find x when f(x)=25
x=11
300
Find the explicit formula of the following sequence
-1, 2, -4,...
y=0.5(-2)x
300
Solve
-13(4 + 2a) = 208
a = -10
300
Write a linear function that shows the relationship between cost and number of months:
Orland buys a gym membership that costs $40 upfront and then $20 each month after.
What is...
y = 20x + 40
300
Given the function y=100(1/5)x will this be exponential growth or decay? Why?
Exponential Decay because what we are multiplying by is less than 1 it is a fraction 1/5
300
Given the graph, find x when f(x)=1
x=3.5 AND x=5
400
Find the arithmetic terms in the sequence
21, ___, ___, ___, 45,......
27, 33, 39.
400
3a + 12 - 6a = -9
a = 7
400
Write a function that shows the relationship between the number of rides she goes on and the number of tickets she has:
Maya goes to the county fair. She has 57 tickets when she gets there and each ride costs 3 tickets.
What is...
y = -3x + 57
400
Make a table and graph
a(n)=4(2)^(x)
Table Growth
-2 1
-1 2
0 4
1 8
2 16
400
State the increasing interval(s).
1< x < 2 and 4 < x < 5
500
Find the missing terms in geometric sequence
12, _____, ______, -1.5
-6, 3,
500
7k - 8 + 2(k + 12) = 52
k = 4
500
Graph the Equation
y=-2x+11
y-int: 11m
m = -2
500
Make a table and graph
a(n)=3(1/2)^(x)
Table Decay
-2 12
-1 6
0 3
1 1.5
2 .75
500
What are the domain and range for this function in interval notation?
Domain: -3 ≤ x < 2
Range -7 ≤ x ≤ 2