Topic 3-1 Domain and Rang of a Function
Topic 3-3 Transforming Linear Functions
Topic 3-4
Arithmetic Sequences
Arithmetic Sequences
Topic 3-5 Scatter Plot and Line of Fit
100
What is the domain and range? Is this a function?
Domain: {0, 2, 4, 5}
Range: {1, 3, 4}
Function
100
Given the parent function f(x) = x, how does the addition of subtraction of a constant to the output affect the graph?
f(x) = x - 2
Down 2 units
100
Is this an arithmetic sequence? If it is, what is the common difference?
48, 45, 41, 38, 34,...
No.
100
Describe the type of association the scatter plot shows.
no association
200
What is the domain and range? Is this a function?
Domain: {-5, -1, 0, 2, 4}
Range: {-5, -2, 0, 2, 3}
Function
200
Given the parent function f(x) = x, how does the addition of subtraction of a constant to the output affect the graph?
f(x) = x + 5
up 5 units
200
Is this an arithmetic sequence? If it is, what is the common difference?
-6, 5, 16, 27, 38,...
Yes; 11
200
Describe the type of association the scatter plot shows.
Negative Association
300
Would a reasonable domain include all real numbers? Explain.
A person drinks n ounces of a 20-ounce bottle of a sports drink
all real numbers would not be a reasonable domain because the number of drinks cannot be negative.
300
Given f(x) = 4x - 5, describe how the graph of g compares with the graph of f.
g(x) = 3(x-3)-5
translated 3 units to the right
300
What is the RECURSIVE FORMULA for the arithmetic sequence?
2, 6, 10, 14, 18,...
a1 = ?
an = an-1 + ?
a1=2
an = an-1 + 4
300
Does the data suggest a linear relationship? If yes, negative or positive?
Positive Relationship
400
Would a reasonable domain include all real numbers? Explain.
A printer prints p pages at a. rate of 25 pages per minute.
All real numbers would not be reasonable domain because the number of pages printed cannot be negative.
400
Given f(x) = 4x - 5, describe how the graph of g compares with the graph of f.
g(x) = 2(4x-5)
vertically stretched by a factor of 2
400
What is the RECURSIVE FORMULA for the arithmetic sequence?
-5, -8.5, -12, -15.5, -19,...
a1 = ?
an = an-1 + ?
a1 = -5
an = an-1 -3.5
400
Does the data suggest a linear relationship? If yes, negative or positive?
Negative Relationship
500
Is this a function?
No
500
A hotel business center charges $40 per hour to rent a computer plus a $65 security deposit. The total rental charge is represented by f(x) = 40x + 65. How would the equation change if the business center increased the security deposit by $15?
g(x) = 40x + 80
500
Write an explicit formula for the arithmetic sequence to find the 15th term.
an=a1+(n-1)d
an=5n+3
78
500
What is the approximate trend line equation for the table shown?
y = 1.6x + 1.8 (Approx)