Lesson 3-1 and 3-2
What is the domain of the function?
{(1,8), (5,3), (7,6), (2,2), (8,4), (3,9), (5,7)}
{1,2,3,5,7,8}
Given f(x)=4x+1, describe how the graph of g compares with the graph of f.
g(x)=4(x+3)+1
left 3
Is the following sequence an arithmetic sequence.
15, 13, 11, 9, ...
yes; d=-2
What kind of association is it if the x-values increase and the y-values decrease?
negative
What is the equation of the trend line that models the data? What does the slope of your trend line represent?
x: 6,7,7,8,9
y:77,80,83,87,92
y=5x+47
the increase in the number of points scored on the quiz for each additional hour of study
What is the range of the function?
{(1,8), (5,3), (7,6), (2,2), (8,4), (3,9), (5,7)}
{2,3,4,6,7,8,9}
Given f(x)=4x+1, describe how the graph of g compares with the graph of f.
g(x)=(4x+1)+3
up 3
Is the following sequence an arithmetic sequence.
4, 7, 10, 14, ...
no
What kind of association is it if the x-values increase and the y-values increase?
positive
Describe the type of correlation indicated by the correlation coefficient.
r=-0.89
strong negative
Does the relation represent a function?
{(1,8), (5,3), (7,6), (2,2), (8,4), (3,9), (5,7)}
Given f(x)=x+2, describe how the graph of g compares with the graph of f.
g(x)=4(x+2)
stretch by 4
Write the recursive formula for the following sequence.
81, 85, 89, 93, 97, ...
a1=81
an = an-1 + 4
What kind of association is it if the x-values increase and the y-values are random?
no association
A person's level of education is positively correlated to the salary the person earns. Can it be inferred that a person with a doctorate degree will always earn more than a person with a bachelor's degree?
no, there will be exceptions.
Evaluate the function for x=6.
f(x) = 4x-3
f(6)=21
Given f(x)=x+2, describe how the graph of g compares with the graph of f.
g(x)=4x+2
compression by 4
Write the explicit formula for the following sequence.
47, 39, 31, 23, 15, ...
an= 47+(n-1)(-8)
Hana draws a trend line for a scatter plot and writes the equation y = 5.5x+11 to represent the line. Use her equation to predict how much she will spend if she buys 8 books.
$55
Using the model y = 47.87x+1345.04 estimate the number of miles people flew on an airline in 2000. Would this be an interpolation or extrapolation if the range was 1975 to 2015?
2541.79
interpolation
Sketch the graph of the function f(x) = 2x+5
Ms. Hilton will check your graph.
The minimum wage for employees of a company is modeled by the function f(x)=7.25x. The company decided to offer a signing bonus of $75. How does adding this amount affect a graph of an employee's earnings?
move the graph up 75
An online store charges $5 to ship one box and $10 to ship two boxes. Write an explicit formula for an arithmetic sequence to represent the amount the online store charges to ship n boxes. Use the explicit formula to determine how much the online store charges when shipping 11 boxes.
an=5+(n-1)5
$55
What is the equation of the trend line of the data set.
x:4, 6, 7, 9, 10
y:9, 7, 5, 3, 3
y=-1.07x+13.1
Find the residuals of the data set if the line of best fit is y=.35x+3.67
x:10,20,30
y:7,11,14
-0.17, 0.33, 0.17