Function? Or Not?
WTF Rule?
Financial Problems
Plugging The Domain
Direct Variation
100
Is this set of ordered pairs a function? {(0,1),(2,2),(-2,1),(2,4),(3,-1),(2,-3),(4,-3)}
No
100
Write a function rule in function notation for each domain that is subtracted by three.
f(x)=x-3
100
If a person saves $5/ day for 30 days in a row, how much money will they have saved up on day 22?
$110.00
100
Find the f(8) using the function rule f(x)=x+5
f(8)=13
100
The variable that never changes and causes y and x to vary directly with each other.
Constant of Variation (k)
200
The test that is used on a graph to determine if a set of points is a function.
The Vertical Line Test
200
Write a function rule for an input (10) that has an output of (100), input of (20) and output of (400), input of (30) and output of (900)
f(x)=x squared
200
A waitress earns a hourly wage (x) of $7.50/hr. Write a function rule to display the total f(x) of her earnings per hour.
f(x)=$7.50x
200
Find the f(-2) using the function rule f(x)=3x-10
f(-2)=-16
200
The formula used to find the constant of variation.
K=y/x
300
True or False? In a mapping diagram when more than one domains shares one range, it is still an example of a function.
True
300
What's the Function Rule? Write in Function Notation. x y 0 -2 1 -1 2 0 3 1 4 2
y=x-2
300
A person pays a house mortgage payment of $55/per month for 45 years. How much money would he have payed off by the 120th month?
$6,600
300
Find the f(-4) using the function rule f(x)=-x-10
f(-4)=-6
300
Is this equation an example of direct variation? If so, identify the constant of variation? 3y=15x
Yes;k=5
400
When a vertical line covers more than _______ point(s) at a time is not a function.
One
400
Write a function rule for a domain that triples in value.
f(x)=x "cubed"
400
What is the function rule for a person who saves $10/day? How much money would they have on the 61st day?
f(x)=$10x $610.00
400
Find the f(15) using the function rule f(x)=3(x+2)
f(15)=51
400
Write an equation of direct variation using these two points. (-4,-12)
y=3x
500
When one domain corresponds with one range, it is known as ______________.
One-to-one correspondence
500
The name of a specific function rule that contains two variables that vary directly with each other caused by a constant.
Direct Variation
500
A person starts with $0.01 on the first day and doubles it for 30 days in a row. How much money does this person have saved on the 7th day?
$0.64
500
Find the f(-4) using the function rule f(x)=|x|-4
f(-4)=0
500
DAILY DOUBLE! For the data in the table determine if y varies directly with x. If it does write an equation for direct variation: x y 4 12 8 24 10 30
Yes; y=3x
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