Vocab
Am I a function?
Evaluating Functions
Create and Solve Functions
Features of Graphs
Domain & Range
AROC
Independent/Dependent
100
This word is used to describe all the possible x-values for a function.
What is the domain, or input, or independent variable?
100
What is No, not a function? It does not pass the vertical line test.
100
f(-3) if f(x) = 2x +1
What it -5 ?
100
Owen has 4 inches of snow on his lawn. It then began to snow at a rate of 1.5 inches per hour. Which number is the CONSTANT in this scenario?
4
100
What is the maximum value for the graph?
6
100
Find the DOMAIN:
{(-2, 4), (3, 2), (2, 10)}
What is {-2, 3, 2}?
100
What does AROC stand for?
Average Rate Of Change
100
In most cases (like every case in this class), anything to do with TIME is the __________ variable
Independent
200
This word is used to describe all the possible y-values for a function.
What is the range, or output, or dependent variable?
200
What is Yes? Passes the VLT!
200
Let f(x) = x2 + x + 1; find f(-5).
What is 21?
200
Create a function g(x) that represents the amount it costs for you and your friends to go to the movies if each ticket costs $10 and you plan to share a $5 bucket of popcorn
g(x)=10x+5
200
The shaded region is increasing, decreasing, or constant?
Decreasing
200
What is the DOMAIN of the following function?
{-3,0,3,6}
200
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 2 ≤ x ≤ 8
6
200
True or False: The dependent variable DEPENDS on the independent variable
True
300
Do we use the x-value or y-value when talking about the maximum or minimum value of a graph?
The y-value! Maximum is largest, minimum is smallest.
300
The mapping diagram shows a function or not.
What is No, not a function?
300
Based on the graph of the function, what is f(4)?
f(4) = -2
300
Max has saved $100. He earns $20 a week from mowing lawns. Let f(x) equal his total amount of money he has and x represent the number of weeks.
Solve for f(6). What does this represent in this scenario?
f(6)=$220
This represents that after 6 weeks, Max will have saved $220
300
On what interval is this graph INCREASING?
-4<=x<=-2
300
The following range is technically impossible. WHY???
-oo<=y<5
It's not possible to be "equal to" infinity or negative infinity.
300
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval −3 ≤ x ≤1?
0
300
What axis does the independent variable go on when graphing a function?
X-Axis
400
How do you determine if a GRAPH is a function or not?
What is the Vertical Line Test?
400
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
What is No, because the input (x) of 2 has two different outputs (y)?
400
If f(x)=-84, solve for x.
f(x)=12(3x+14)
x = -7
400
Julieta has joined the Frequent Coffee Buyer program with a local cafe. The program costs $10 per month which allows her to get a discounted coffee price of $1.00 per cup.
Create a function (c(x)) that represents how much Julieta would pay for x cups of coffee
c(x)=1x+10
400
The y-intercept of the graph.
What is (0, 4)?
400
Find RANGE:
-2<=y<oo
400
Calculate the rate of change, then explain what it means in context:
4 minutes -> 16 minutes
AROC = 2/12 = 1/6
The speed increases an average of 1/6 blocks/min (blocks per minute) from minute 4 to minute 16.
400
It starts to snow in your front yard, at a rate of 2 inches per hour. What is the INDEPENDENT variable in this scenario?
Number of Hours
500
This word describes any relation where each x-value is paired with one (and only one) y-value.
What is a Function?
500
Is this a function and why?
What is no, because x's repeat at 8?
500
Find x if f(x) = 8
x = 0
500
A bowling alley charges $10 for the lane fee and $5 per pair of rental shoes. How many people (including yourself) can you bring if your budget is $45?
7 people
500
On what interval is the graph CONSTANT?
2<=x<=5
500
Find DOMAIN:
-oo<x<oo
(aka all real numbers)
500
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 0 ≤ x ≤ 3?
TRICK QUESTION! This is not a function, because it doesn't pass the VLT!
500
Holly was offered a job after college earning a salary of $60,000. She will get a raise of $2,000 after each year working for the company. The function
j(x)=2,000x+60,000
represents this situation. What is the DEPENDENT variable in this scenario?
Her salary after x years