Domain and Range
Independent/Dependent
Is it a Function
Linear/Non-Linear
Mystery
100
Does the domain represent the x-values or the y-values?
What is x-values?
100
You are going running. For every mile you run, you burn 100 calories. What is the Dependent variable?
Calories
100
Is it a function? Why?
Function. It passes the vertical line test.
100
Linear or Non-Linear? Why
X Y
-2 4
-1 1
0 0
1 1
2 4
Non Linear. Because the y values are not increasing at a constant rate.
100
What is the value of x?
3x + 4 = 16
x = 4
200
Does the range represent the x-values or y-values?
What is y-values?
200
While on vacation, Garrett plans to write some postcards to his friends. The number of postcards he can send depends on how many stamps he has. What is the Independent variable?
The number of stamps
200
Is it a function? Why?
Not a function. It does not pass the vertical line test.
200
Linear or Non-Linear? Why?
X Y
1 1
2 3
3 5
4 7
Linear. The y values are going up by 2 at a constant rate.
200
Solve the equation when x = 3
2x + 4x
18
300
What is the domain?
(4,6)
(7,6)
(2,3)
(3,4)
What is 4, 7, 2, and 3?
300
In the relation below, what is the Independent variable and the Dependent variable?
(7,5), (3,6), (8,7), (4,2), (1,9)
I- 7,3,8,4,1
D- 5,6,7,2,9
300
Is it a function? Why?
X Y
2 3
4 3
5 6
6 2
Function. The x value only has one y value.
300
Linear or Non-Linear? Why?
Non-Linear. The graph creates a v-shape which is not a line.
300
Solve the equation when x = 4 and y = -5
(2x + y)(2x - y)
39
400
What is the range?
(6,8)
(4,9)
(8,3)
(3,5)
What is 8, 9, 3, and 5?
400
What is the Independent variable and Dependent variable of the following relation?
(5,4), (3,2), (9,8), (1,2), (4,5), (7,8)
I- 5,3,9,1,4,7
D- 4,2,8,2,5
400
Is it a function? Why?
X Y
4 5
6 7
8 9
4 11
Not a function. The x value 4 has more than one y value.
400
Linear or Non Linear? Why?
Linear. It creates a non vertical line.
400
What is the value of x?
34 = 6x - 4
x = 5
500
Find the domain and range?
(8,2)
(6,3)
(4,6)
(9,2)
What is x = 8, 6, 4, and 9
y= 2, 3, and 6
500
What is the Independent variable and Dependent variable of the following relation?
(1,2), (3,4), (5,6), (7,8), (9,10), (2,3), (4,5), (6,7)
I- 1,3,5,7,9,2,4,6
D-2,4,6,8,10,3,5,7
500
Is it a function? Why?
X Y
8 9
7 8
6 7
5 6
Function. The x value only has one y value.
500
Linear or Non-Linear? Why?
Neither because it creates a vertical line
500
Solve the equation when x = 1 and y = 4.
3x+4y
19