Vocabulary
Is it a Function?
Writing and Interpreting Functions
Domain, Range, Slope
Evaluate Functions
100
What is the list of x values in a relation?
Domain
100
Which of these relations represent functions?
Relations 2 and 4
100
Mia, Justin, Brendan, and Karen
100
Find the domain and range. {(-3,2),(-2,4),(-1,2),(5,4)}
D:{-3,-2,-1,5} R:{2,4}
100
If f(x) = x + 3, what is f(5)?
What is 8?
200
What is the list of y values used in a relation?
Range
200
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
200
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
D
200
Is the following relation a function? {(-1,5),(2,3),(4,2),(10,2)}
What is yes?
200
If f(x) = 2x-7, evaluate f(3)
What is -1?
300
What do we use to determine if a graph is a function?
Vertical line test
300
Is the following relation a function?
(1, 1), (4, 1), (5, 2), (1, 2), (2, 5)?
No
300
In 2014, County X had 783 miles of paved roads. Starting in 2015, the county has been building 8 miles of new paved roads each year. At this rate, if n is the number of years after 2014, which of the following functions f gives the number of miles of paved road there will be in County X? (Assume that no paved roads go out of service.)
f(n)=8+783n
f(n)=2,014+783n
f(n)=783+8n
f(n)=2,014+8n
What is f(x)=783+8n
300
What is the slope of the function ?
-6x + 3y= −12
What is 2?
300
If f(x)=x2+x, evaluate f(-4)
What is 12?
400
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)
400
The table shows the inputs and outputs for the function f(x) = -7x - 5
When the input is -5, what is the output?
30
400
A. 450 = m + n
B. 450 + m = n
C. 450m = n
D. 450 = mn
D
400
What is the slope of the function:
2y−3=8x+13
What is 4?
400
Let the function f be defined be f(x)=5x−2a, where a is a constant. If f(10)+f(5)=55, what is the value of a?
What is 5?
500
This word describes a relation that pairs each x value with only one y value. ALL the x values are different.
What is a function?
500
Which point can you remove from this graph to make it a function?
(-1,-1) or (-1,3)
500
A. m = 532 - 57h
B. m = 532 + 57h
C. m = 532h - 57
D. m = 532h + 57
A
500
How do you graph y= 8?
What is a horizontal line at 8 on the y-axis?
500
If f(x) = 2x−5, then what is the value of f(2) + f(5) ?
What is 4?
1000
What are the 4 ways a question will ask whether a function exists or not?
What is a function table, mapping diagram, graph, and a relation (set of ordered pairs)?
1000
Does this graph represent a function? Why or why not?
Yes because each input only has one output (it passes the vertical line test)
1000
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
1000
What is the slope of x = -2 ?
What is undefined? (you can't divide by 0)
1000
A function f satisfies f(2)=3 and f(3)=5. A function g satisfies g(3)=2 and g(5)=6. What is the value of f(g(3))?
What is 3?