What is the list of x values in a relation?
Domain
Which of these relations represent functions?
Relations 2 and 4
Mia, Justin, Brendan, and Karen
Find the domain and range. {(-3,2),(-2,4),(-1,2),(5,4)}
D:{-3,-2,-1,5} R:{2,4}
If f(x) = x + 3, what is f(5)?
What is 8?
What is the list of y values used in a relation?
Range
Which of the following numbers could be placed in the empty cell and still have a function?
a. -16, -12, 0, 19
b. -12, 0, 20, 43
c. -16, -8, 19, 47
d. -16, 20, 43, 47
b
P(20) would represent the profit earned based on
A. 5 days of operating the train
B. 5 passengers riding on the train
C. 20 days of operating the train
D. 20 passengers riding on the train
and
What would be the profit if x was 20?
D and $5
Is the following relation a function? {(-1,5),(2,3),(4,2),(10,2)}
What is yes?
If f(x) = 2x-7, evaluate f(3)
What is -1?
What do we use to determine if a graph is a function?
Vertical line test
Does the relationship between P and x describe a function? Explain why or why not.
a. No. There is only 1 value of P for each value of x
b. No. There is more than 1 value of P for each value of x
c. Yes. There is only 1 value of P for each value of x
d. Yes. There is more than 1 value of P for each value of x
C
Miranda cuts grass (g) for $20 an hour and trims hedges (h) for $25 an hour. She is trying to make enough money during the summer to buy a car for $4200. Which inequality represents the number of hours Miranda needs to cut grass and trim hedges?
A.
25g + 20h >= 4200
B.
25g + 20h <= 4200
C.
20g + 25h <= 4200
D.
20g + 24h >= 4200
D
Find the domain and range. {(-1,5),(2,3),(4,2),(-1,2)}
D:{-1,2,4} R:{2,3,5}
If f(x)=2x+4 evaluate f(-4)
What is -4?
How can you tell if a relation is not a function when it is shown in a mapping?
Look for problem area ( multiple arrows coming from a domain with more than one output)
The table shows the inputs and outputs for the function f(x) = -7x - 5
When the output is -5, what is the output?
30
A. 450 = m + n
B. 450 + m = n
C. 450m = n
D. 450 = mn
D
Is the following relation a function? {(-3,2),(-2,4),(-1,2),(5,4)}
What is yes?
If f(x)=x2 - x evaluate f(-8)
What is 72?
Define independent variable.
x-value, domain, the item that you control, the item that changes the y-values
Which point can you remove from this graph to make it a function?
(-1,-1) or (-1,3)
A. m = 532 - 57h
B. m = 532 + 57h
C. m = 532h - 57
D. m = 532h + 57
A
Find the domain and range. {(-5,8),(-5,4),(6,9),(3,10)}
D:{-5,3,6} R:{4,8,9,10}
If f(x) = 2x2, evaluate f(-3)
What is 18?
What are the 3 names for an x value?
Input, Domain, Independent value
Does this graph represent a function? Why or why not?
Yes because each input only has one output (it passes the vertical line test)
At the start of the year the balance in a married couple's account is $1,750. They decide to each deposit $35 into the account each month.
Which function represents the amount in the account n months after the beginning of the year?
B
Find the domain and range. {(-3,4),(0,10),(11,8),(4,5)}
D:{-3,0,4,11} R:{4,5,8,10}
If f(x)=x2+x, evaluate f(-4)
What is 12?