3-1 Relations & Functions
Domain relates to all the " " values and range relates to all the " " values.
Domain- x-values or inputs
Range- y-values or outputs
Given the function, f(x)=2x-4, what is the slope?
The slope is 2
How does g(x) compare to f(x) if g(x)=f(x)+2
Shifted up 2
Is the following sequence arithmetic?: 2, 4, 8, 16
No, it is being MULTIPLIED by 2
Name the type of correlation between: hours spent studying and your grade on the math test
Positive Correlation
Cooper is competing in a marathon, would Cooper's path be continuous or discrete data?
Continuous
Given: f(x)= 4x-1, find f(2)
f(2)=7
How does g(x) compare to f(x) if g(x)=f(x-3)?
Shifted to the right 3 units
What is the common difference and a1 for the following arithmetic sequence?:5, 12, 19, 26
d= 7 and a1=5
The more you eat out, the less you eat at home. What kind of correlation do these 2 things have?
Negative Correlation
Cooper runs a full marathon (26.2miles). Give a reasonable range for this scenario.
Between 0 and 26.2
Given: f(x)= -2x+4, find f(3)
f(3)=-2
How does g(x) compare to f(x) if g(x)=2f(x)
Vertical stretch by factor of 2(graph gets narrower/skinnier)
What is the common difference and a1 for the following arithmetic sequence?:10, 6, 2,-2
d= -4 and a1=10
The more you exercise, the more you sing. What kind of correlation is this?
No Correlation
Does the following relation represent a function? {(2,6), (3,9), (2,4), (6,10}
No, there are repeating x-values.
If 2 bracelets cost $6 to make and 3 bracelets cost $9 to make, how much does it cost to make 1 bracelet?
It costs $3 to make 1 bracelet
How does g(x) compare to f(x) if g(x)=1/2f(x)
Vertical compression by factor of 1/2(graph gets wider/larger)
Write the RECURSIVE formula for the following arithmetic sequence: 2, 4, 6, 8
an=an-1+2
a1=2
Name the type of correlation between: temperature outside and amount of clothing someone would wear
Negative Correlation
Draw an example of a graph that would represent a function.
Answers may vary
Netflix charges customers a service fee of $15, plus $8 each month. Write a function to represent the total cost of subscribing to Netflix for t months.
C(t)=8t+15
Write a function, g(x), that is shifted 1 unit to the right and 5 units down from the original function, f(x).
g(x)=f(x-1)-5
Write the EXPLICIT formula for the following arithmetic sequence: 4, 7, 10,13 (Simplify your answer!)
an=3n+1
Give an example of 2 things that have a positive correlation.
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