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Mashcka [7]
3 years ago
7

A relation contains the points (-5, -10), (-2, -4), (-1, -2), (4, 8) and (5,10). Is this a function? Explain.

Mathematics
1 answer:
alex41 [277]3 years ago
7 0
This is a function because all the x values are different automatically making it a function. But if there were two of the same x values and they had different y values it wouldn’t be a function. Hope that makes sense!
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<h3>Answer:   f(x) = x + 13 </h3>

This is the same as y = x+13

=============================================================

Explanation:

Let's find the slope

I'll use the first two rows as the (x1,y1) and (x2,y2) points

m = (y2-y1)/(x2-x1)

m = (19-18)/(6-5)

m = 1/1

m = 1

The slope is 1.

Now apply the point slope formula and solve for y

y - y1 = m(x - x1)

y - 18 = 1(x - 5)

y - 18 = x - 5

y = x-5 + 18

y = x + 13

f(x) = x + 13  is the final answer

As a check, note how something like x = 5 leads to...

f(x) = x+13

f(5) = 5+13 ... replace x with 5

f(5) = 18

We see that x = 5 leads to f(x) = 18. That verifies the first row. I'll let you check the remaining three rows.

The equation y = x+13 has slope 1 and y intercept 13.

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