Graphing Functions
Plot the first five points of the domain {1,2,3,4,5}:
y=x+4
(1,5),(2,6),(3,7),(4,8),(5,9)
How is a scatter plot that shows no Correlation is different from a scatter plot with negative correlation?
Answers will vary
When the terms of a sequence differ by the same nonzero number d.
a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the co-domain of the function.
A printer can print 8 pages per minute. Identify the dependent and independent variables for the situation. Write the equation in function notation.
Independent: minutes
Dependent: pages
f(m)=8m
Use the graph of the function f(x)=1/2*x-2 to find the value of f(x) when x=2.
-1
Does a trend line always pass through every point on a scatter plot? Explain your reasoning.
No; with given reasoning.
Find the given term of the arithmetic sequence.
5,10,15,20...;17th term
85
What are independent and dependent variables?
In a math equation, variables are the symbols or letters that represent numbers whose values can change. Variables can either be dependent or independent on other variables. Dependent variables rely on other variables to find their value, and independent variables do not rely on other variables to find their value.
For f(x)=3x-1 find f(x) when x=2.
f(2)=5
With the given function, determine whether or not the points lie on the graph
y=7x-2; (1,5),(2,10)
Yes;No
Name the type of correlation associated with the statement.
Time and the amount of miles traveled
Positive
Find the common difference for each arithmetic sequence.
112,105,98,91...
-7
What is a sequence?
A sequence is a list of numbers that may form a pattern
The function y=8x represents how many miles "y" a certain storm travels in x hours. Graph the function and estimate the number of miles the storm travels in 10.5h
84 miles
For the function give me three ordered pairs:
y=|x|+6
Is this correlation positive or negative:
The year a car was made and the total mileage
Negative
31st term: 12,7,2,-3....
-138
What is a scatter plot?
A graph with points plotted to show a possible relationship between two sets of data.
n-2.8 for n=5.8
3
Graph the functions y=|x| and y=-|x|. Describe how they are alike and different.
They are both V-shaped with one facing up and the other facing down.
Choose a scatter plot type that best describes this statement:
Will more people or fewer people buy an item if the price goes up?
Negative correlation since fewer people would purchase an increased item amount.
Is the sequence 5a-1, 3a-1, a-1, -a-1? If not, explain why not. If so, find the common difference, and the next three terms.
Yes. -2a; -3a-1,-5a-1,-7a-1
What is a correlation? What are the three forms of it and describe the relationship?
Describes a relationship between two sets of data.
Positive: both x and y increasing
Negative: X increases as Y decreases
No Correlation: There is no relation
Find the 83rd term:
5,-2,-9,-16
-569