Vocabulary
Is it a Function?
Evaluating Functions
Interpret Functions
Features of a Graph
200
What is the definition of domain?
The set of input values (all values of x).
200
Is it a function? Justify your answer.
{(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
200
Evaluate f(2) if f(x)=-3x
f(2) = -6
200
Function C gives the temperature, in degrees Celsius, t hours after Noon.
Explain the meaning of C(4) = 10.
What is 4 hours after Noon (4 PM), the temperature is 10 degrees Celsius?
200
What is the horizontal or x-intercept of the graph below?
What is (-2,0)?
400
What is the definition of range?
The set of output values (all values of y).
400
Using the vertical line test, does the graph of the points (1,3) and (1,5) represent a function?
No, the points fail the Vertical Line Test.
400
If f(x)= -(4x+2), evaluate f(7).
f(7) = -30
400
Function S gives the amount of snow on the ground, in inches, t days after a blizzard.
Explain the meaning of S(3) = 5.
What is 3 days after a blizzard, there are 5 inches of snow on the ground?
400
What is the minimum of the graph below?
What is (3,-1)?
600
What is the definition of a function?
To be a function, each input has only one output.
600
Is it a function? Justify your answer.
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
No, the input of 2 has two different outputs.
600
Evaluate f(-6) if f(x)=x2 - 9
f(-6) = 27
600
Function M gives the amount of money in Marcus' savings account, in dollars, t months after the start of a new job.
Explain the meaning of M(6) = 5400.
What is 6 months after starting a new job, Marcus has $5400 in his savings account?
600
What are the vertical or y-intercepts of the graph below?
What are (0,3) and (0,-5)?
800
Which variable is the input, and which one is the output?
x is the input, y is the output
800
Is it a function? Justify your answer.
Yes, it passes the Vertical Line Test.
800
If f(x)=|25 - 4x|, evaluate f(9).
x = 11
800
Function g gives the amount of money someone spends at the grocery, in dollars, after buying t dozen eggs.
Explain the meaning of g(2) = 12.
What is after buying 2 dozen eggs, someone spends $12 at the grocery?
800
What is the maximum of the graph below?
What is (2,3)?
1000
What is the test to tell if a graph is a function?
Vertical Line Test
1000
Is it a function? Justify your answer.
Yes, each input has exactly one output.
1000
If f(x)=3x+15, find x when f(x)=42.
x = 9
1000
Function C gives the amount of cookies that can be made, using t cups of sugar.
Explain the meaning of C(4) = 48.
What is 4 cups of sugar can make 48 cookies?
1000
What are the domain and range of the graph below?
What are domain 0<x<360 and range -1<y<1?