Question

Does the table describe x as a function of y?

х
у
-3
-2
Does the table describe x as a function of y?
O A. Yes, each output y is assigned to exactly one input x.
O B. No, more than one output value y is assigned to the input x-value
OC. No, more than one output value x is assigned to the input y-value
OD. Yes, exactly one output x is assigned to each input y.
-
3
6
0
7
1
7
2
4
3
- 1
Click to select and enter your answer(s) and then click Check Answer.

Answer 1

C. No, more than one output value x is assigned to the input y-value

Explanation:

Given

х у

-3 -2

3 6

0 7

1 7

2 4

3 - 1

Required

State if the table shows x as a function of y

x being a function of y means

`x = f(y)`

i.e. x represents the output while y represents the input of the function

Note that each value of y (input) must be assigned to separate values of x (output) for a function to be established

Having said;

Next step: We have to examine the x and y column

In the y column, the value 7 occurred twice (as shown below)

х у

0 7

1 7

This implies that;

Input 7 gives output of 0 and 1.

Hence, this is not a function.

Option C answers the question.