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Natasha2012 [34]
3 years ago
10

Does this set of ordered pairs represent a function? Why or why not?

Mathematics
1 answer:
belka [17]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Recall that for a function to be valid, each input value of x must give us one and only one unique output  value for y.

in this case we can see that one of the data sets is (3,-1)

which means that an input of 3 gave an output of -1

but we also see that another data set (3,1)

in this case an input of 3 gave an output of 1.

Because the same x input gives 2 different y outputs, this is not a function.

the answer is A

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The table shows three values of x and their corresponding values of f (x) for a linear function f, such that f (r) = 0 and f (0)
Rus_ich [418]

Using a linear function, it is found that the product rs is rs = 81.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

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  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:

m = -16/64 = -0.25.

Hence:

y = -0.25x + b.

When x = 34, y = -4, hence this is used to find b.

-4 = -0.25(34) + b

b = 4.5.

Hence the function is:

y = -0.25x + 4.5.

f(r) = 0, hence:

-0.25x + 4.5 = 0

x = 4.5/0.25

x = 18

r = 18.

f (0) = s, hence s = 4.5.

Then the value of the product is:

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More can be learned about linear functions at brainly.com/question/24808124

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7 0
1 year ago
A right cylinder is sliced parallel to its base.
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Step-by-step explanation:

I just took a test with the same question. Proof of right answer is attached.

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\displaystyle{d= \sqrt{(b-d)^2+(a-c)^2}, 


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