Question content area top
Part 1
Find the domain and the range of the relation. Determine whether the relation is a function.
Input
Output
-5
3
-9
9
30
To find the domain and the range of the relation, we look for all the inputs and outputs given.
Inputs: -5, -9, 30
Outputs: 3, 9
Domain: The domain is the set of all possible inputs. In this case, the domain is {-5, -9, 30}.
Range: The range is the set of all possible outputs. In this case, the range is {3, 9}.
To determine whether the relation is a function, we check if each input has a unique output. In this case, each input (-5, -9, 30) has a unique output (3, 9). Therefore, the relation is a function.
Question content area top
Part 1
Find the domain and the range of the relation. Determine whether the relation is a function.
Input
Output
-9
6
-6
9
66
To find the domain and the range of the relation, we look at all the inputs and outputs given.
Inputs: -9, -6, 66
Outputs: 6, 9
Domain: The domain is the set of all possible inputs. In this case, the domain is {-9, -6, 66}.
Range: The range is the set of all possible outputs. In this case, the range is {6, 9}.
To determine whether the relation is a function, we check if each input has a unique output. In this case, both -9 and -6 have the same output, which is 6. Therefore, the relation is not a function since one input has multiple outputs.
Question content area top
Part 1
Determine whether the relation is a function.
Input
Correspondence
Output
Question content area bottom
Part 1
Choose the correct answer.
A.
The relation is not a function.
B.
The relation is a function.
In order to determine whether the relation is a function, we need to examine the input and correspondence pairs given.
Input: Correspondence: Output:
A A
B D
B F
C G
By looking at the input and correspondence pairs, we can see that input "B" has two different outputs, "D" and "F". This means that there is more than one output for a single input.
Therefore, the correct answer is:
A. The relation is not a function.
Question content area top left
Part 1
Determine if the graph is a function.
Also give the domain and range.
Question content area bottom left
Part 1
Is this the graph of a function?
Yes
No
.
.
.
Question content area right
Part 1
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
To determine if the graph is a function, we need to check if there is only one y-value for each x-value.
Looking at the graph in the table, we see that for each x-value, there is only one corresponding y-value. Therefore, the graph is a function.
Domain: The x-values on the graph represent the domain. From the table, we can see that the x-values range from -10 to 10. So the domain is [-10, 10].
Range: The y-values on the graph represent the range. From the table, we can see that the y-values range from -10 to 10. So the range is also [-10, 10].
Therefore, the answers are:
Yes - The graph is a function.
Domain: [-10, 10]
Range: [-10, 10]
If f(x)=6x+4, find f(1).
To find f(1), we substitute x = 1 into the function f(x) = 6x + 4.
f(1) = 6(1) + 4
= 6 + 4
= 10
Therefore, f(1) is equal to 10.
Use the graph of the function f to find
Question content area bottom left
Part 1
enter your response here
.
.
.
Question content area right
Part 1
-5
-4
-3
-2
-1
1
2
3
4
5
-10
-8
-6
-4
-2
2
4
6
8
10