Sequences (8.1 and 8.2)
Determine if the sequence is arthimetic or geometric and identify the pattern (common difference or common ratio):
-4, -1, 2, 5,...
Arithmetic
+3
Convert the following percent to a decimal:
13.3%
13.3% as a decimal is .133
TRUE or FALSE:
If you have two points with the same x-values (input), but different y values (output) then you do not have a function.
True
Given the graph, What are the coordinates of the relative maximum?
(-4,6)
Which type of function will eventually get bigger than the other as x increases?
Linear or Exponential?
Exponential function
Determine if the sequence is arithmetic or geometric, and create an explicit formula.
3, 6, 12, 24, 48
Geometric
a(n)=3(2)^(n-1)
Create an exponential growth equation using the following data.
a(0) = 200
r = 2.3%
t = 3
200(1+.023)^3 = 211.12
Would the follow set of points be considered a function?
{(1,2), (2,3),
{(1,2), (2,3), (4, 2), (6, -1), (1, 7)}
No, the x value 1 has two different y values.
Given the graph, what are the coordinates of the relative minimum?
(1,-8)
Which of the following scenarios would follow an exponential model?
a) a water tank being filled 2 gallons of water / hour
b) a vine grows 6 inches per week
c) A species of fly doubles its population every month
d) A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.
C
You are constantly multiplying by 2.
Find the 20th term of the following sequence:
1, 4, 7, 10,...
a(20) = 58
Diddy started an account at Bark Bank that gathers 4.4% interest every year. Diddy put $250 in the account to start. How much money will Diddy have in his account after 6 years?
$323.70
What is the domain of the following function:
{(1,2), (2,3), (4, 7), (7,7), (-1.0)}
D= {-1,1,2,4,7}
How many zeros are there? What are the coordinates of them?
(-7,0) , (-1,0) , (3,0)
Find the linear regression using the following points:
(0,1) and (4, 9)
y = 2x+1
Find the 15th term of the following sequence:
2, 6, 18, 54, ...
a(15)=9565938
Mr. Mickol's bought a new car for $15,000. His cars value is expected to decrease at a rate of 6.07% per year. How much will his car be worth after 5 years? 10 years?
5 years: $10967.63
10 years: $8019.26
Find the value of f(-2) given the following equation.
f(x)=x^2 - 3x+2
f(-2) = 12
What interval(s) is the function increasing?
(-oo,-4) and (1,oo)
Find the exponential regression using the points:
(0,2) and (3,54)
y = 2(3)^X
Create a recursive formula give the explicit formula:
a(n)=2n -3
n>=1
a(n) = a(n-1) +2
a(1) = -1
2016
Given the following equation, find the value of x when f(x) = -8
f(x) = 2(x-3) +2
x=-2
What interval(s) is the function positive?
(-7,-1) and (3,oo)
From birth to 2000, Mr. Mickol had eaten 320 total chicken nuggets.
By 2020, Mr. Mickol had eaten a total of 2,600 chicken nuggets.
Create a linear and exponential equation to model this scenario.
Linear:
y=114x+320
Exponential:
y=320(1.11)^x