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2 years ago

Is the relation in the table a function?

Mathematics

1 answer:

Zigmanuir [339]2 years ago

5 0

It is a function, therefore the answer is: C. Yes, because each input value corresponds to only one output value.

<h3>How to Determine if a Table Represents a Function?</h3>

A table that can be said to represent a function must have exactly one output value (y-value) assigned to every input value (x-value). That is to say, no input value (x-value) has two different output values (y-values).

In the table that shows the relation given in the diagram above, we can see that each of the input value (x-value) has only one possible output value (y-value) that it corresponds to. No x-value (input value) has two different y-values (output values) it corresponds to.

Thus, the relation in the table can be said have satisfied the criteria of a function. Therefore, we can state that the relation in the table is a function.

Since it is a function, the answer therefore, is: C. Yes, because each input value corresponds to only one output value.

Learn more about function on:

brainly.com/question/10439235

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Enter the letters of the points that lie on the line $y = \frac{1}{2} x + 3.$[asy]unitsize(0.4 cm);pair A, B, C, D, E, F, G, H,

igor_vitrenko [27]

The points that lie on the line are C(-4, 1), E(-6, 6) and I(2, 4)

Given the equation of a line expressed as $y=\frac{1}{2}x + 3$

We need to find which of the points from A to J lies on the line.

To do that, we will substitute the x-coordinate point into the equation to see if we are going to get the y-coordinate

For the coordinate C(-4, 1)

when x = -4

y = 1/2(-4) + 3

y = -2 + 3

y = 1

This shows that the point C(-4, 1) is on the line

For the point E(6, 6)

when x = 6

y = 1/2(6) + 3

y = 3 + 3

y = 6

This shows that the point E(-6, 6) is on the line

For the point I (2, 4)

when x = 2

y = 1/2(2) + 3

y = 1 + 3

y = 4

This shows that the point I(2, 4) is on the line

This shows that the points that lie on the line are C(-4, 1), E(-6, 6) and I(2, 4)

Learn more here: brainly.com/question/16131866

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