Question

Select all of the following graphs which represent y as a function of x

Answer 1

A, B, D, and E are correct.

What makes these a function and the others not is that for each x value, there is only one y value. For C, for example, there are multiple y values for the x value of -2. The same goes for F.

Answer 2

To solve this question, we use the definition of a function, which includes that:

• For each value of x, there is only one possible value of y.
• As a graph, if we trace a vertical line, it cannot cross more than one point of the function.

Doing this, we get that the graphics which represents functions are: a, b, d and e.

Graphic a:

Constant line, for each value of x, only one value of y, so yes, it is a function.

Graphic b:

For each value of x, only one value of y, so yes, it is a function.

Graphic c:

For values of x between -4 and 0, there are more than 1 value of y, thus, it is not a function. Using a vertical line, as in the picture at the end of the question, you can see that it crosses more than one point of the function.

Graphic d:

For each value of x, only one value of y, so yes, it is a function.

Graphic e:

For each value of x, only one value of y, so yes, it is a function.

Graphic f:

For values of x between -4 and 0, there are more than 1 value of y, thus, it is not a function. Using the vertical line test, as for option c, you can verify the same thing.

Thus:

Graphics a,b, d and e represent functions.

A similar example is given at https://brainly.com/question/17267403