Vocabulary
This action shifts each point on a graph of a function the same distance vertically.
Identify the domain of the following function:
{(-2, -3.5), (0, -1.5), (3, 1.5), (5, 3.5), (9, 7.5)}
(-2, 0, 3, 5, 9)
A taxi company charges $3.50 plus $0.85 per mile. What linear function can be used to determine the cost of a taxi ride of x miles? How much would a 3.5-mile taxi ride cost?
f(d)=0.85d+3.5
f(3.5)= $6.48
Is the sequence arithmetic?
48, 45, 42, 39, 35,...
No!
What does 'r' represent in the linear regression?
Correlation coefficient
The set of inputs in a function, the x-values.
What is the domain?
Identify the range of the following function:
{(-2, -3.5), (0, -1.5), (3, 1.5), (5, 3.5), (9, 7.5)}
(-3.5, -1.5, 1.5, 3.5, 7.5)
How is the function notation f(x) read?
"F of x"
What is a1 and d of the following sequence?
-8, -5.5, -3, -0.5, 2.0,...
a1 = -8
d=2.5
If r does not show when I use the graphing calculator, what do I need to do?
2nd, 0, diagnostic on, done.
The set of outputs in a function, the y-values.
What is the range?
Is the relation a function? Explain.
{(-1, -5), (-5, -2), (4, 0), (0, 3), (2, 2)}
Yes.
Evaluate the function for:
f(-4)=2x-1
f(x)=-9.
Write a recursive formula for the following sequence.
2, 6, 10, 14, 18...
an = an-1 + 4
If my value of r is -0.57, what type of correlation does my data have?
Weak negative correlation
An ordered list where the difference between any two consecutive terms is a constant.
What is an arithmetic sequence?
Is the relation a function?
{(4, 1), (2, 3), (0, 4), (5, 3)}
Yes.
Let f(x)=2x-1. If g(x)=(2x-1)+3, how does the graph of g compare to the graph of f?
It is translated up 3 units.
Write an explicit formula for the following sequence:
-5, -8.5, -12, -15.5, -19
an= -3.5n - 1.5
Find the trend line for the following data:
(6, 85), (12, 81), (18, 75), (24, 69), (30, 63)
y = -0.93x + 91.4
A linear function that most closely represents the relationship between points in a scatter plot.
What is a line of best fit? What is a trend line?
A person drinks n ounces of a 20 ounce bottle of a sports drink.
Between 0 and 20 ounces.
Given f(x)=4x-5, describe how the graph of g compares with the graph of f.
g(x)=4x-17
The graph is translated 12 units down.
an = 3n+1
a1 = 4, an = 3
Find the trend line for the following data:
(20, 9), (22, 12), (24, 16), (26, 20), (28, 23)
y = 1.8x - 27.2