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3 years ago

Determine whether each relation is a function if so provide the domain and range

Mathematics

1 answer:

Tems11 [23]3 years ago

4 0

Answers:

Function? Yes
Domain = {1, 5, 10, 11, 14}
Range = {6, 50, 150, 176, 256}

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

Explanation:

x = width

y = area

x is the input while y is the output.

We have a function because each input leads to exactly one output only. We don't have repeated x values.

The domain is the set of possible inputs. So we simply list the set of x values given in the table to get the domain to be {1,5,10,11,14}

The range is a similar story, but we list the possible y outputs getting {6,50,150,176,256}.

The curly braces indicate we have a set of values.

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3 years ago

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4 years ago

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Which is an equation of the line with a slope of 2/3 passing through the point (4,-1)

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The slope would always be the coefficient of x, so in this case, we can already rule out A and B. C and D are left now.

Since the line passes through the point (4,-1), let's sub in x = 4 (since the x value is 4), and if we get y = -1, the answer can be determined.

Option C:

y = $\frac{2}{3}$ x - $\frac{5}{3}$

Sub x = 4,

y = $\frac{2}{3}$ (4) - $\frac{5}{3}$
= 1

The answer was NOT y = -1, so we can rule out C.

That leaves us with the only option D, and just to check in case:

y = $\frac{2}{3} x - \frac{11}{3}$
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D is definitely the answer! Hope this helped!

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