Vocabulary
Input(Independent) and Output (Dependent)
Relating two Quantities
Is it a Function?
100
What is an input?
The input of a relation is the value that is used or "plugged into" the relation.
100
What is the input?
(2,7)
The input is 2
100
What is the difference between steepness and constant shape of a line?
Steepness is the angle in which the line is , while constant is a flat horizontal line.
100
Is it a function? Justify your answer.
{(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
200
What is an output?
The output of a relation is the value that results from the relation's operations performed on the input.
200
What values are the input?
x y
1 2
2 3
3 4
The x values are the inputs.
200
Name the word:
The most you can have of something. In a graph its the highest the values go to.
Maximum
200
Input: Name of a student in this math class.
Output: The grade that the student receives on the functions test.
Function! Each student will only get one grade.
300
What is the definition of a function?
A relationship between input and output values. Each input has exactly one output value.
300
What is the output?
(18,36)
The out put is 36
300
Name the word:
The least you can have of something. In a graph its the lowest the values go to.
Minimum
300
Is it a function? Justify your answer.
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
No, the input of 2 has two different outputs.
400
What is the definition of an independent variable?
A variable whose values affect the values of another variable (dependent variable). It is usually found on the x-axis of a graph.
400
What values are the outputs?
x y
1 2
2 3
3 4
The y values are the outputs.
400
Describe the relationship between time and temperature as shown in the following table. Also tell if the table stays constant or not?
Time Temperature
(Hours)
19 90 Degrees
27 85 Degrees
40 85 Degrees
51 65 Degrees
As time increases the temperature decreases . The temperature stays constant from hour 27 until hour 40.
400
Is it a function? Justify your answer.
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Yes, it passes the Vertical Line Test.
500
What is the test to tell if a graph is a function?
Vertical Line Test
500
If you are not given information about a table, what side of a table do most inputs fall on?
Most inputs fall on the left side of the table when not given information.
500
Describe the relationship between time and temperature as shown in the following table:
Time Temperature
(Hours)
1 50 Degrees
2 55 Degrees
4 60 Degrees
5 65 Degrees
As time increases the temperature positively increases.
500
Is it a function? Justify your answer.
Yes, each input has exactly one output.