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Yakvenalex [24]
3 years ago
11

Which of the following rules represents the function shown in the table?

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
6 0
<h2>Answer:</h2>

The rule which represent the function as shown in the table is:

                 f(n)=3n

<h2>Step-by-step explanation:</h2>

We are given a table as follows:

  x       2          -1         0

  y       6          -3         0

Now we are asked to find the function which represent these table of values.

a)

    f(n)=n+3

Here x is represented by n and y by f(n)

when n=2 we must have f(n)=6

Hence, we put n=2 in the given expression and check,

f(2)=2+3=5\neq 6

Hence, this is not a correct function.

b)

f(n)=\dfrac{1}{3}n

Again we check for n=2

We have:

f(2)=\dfrac{1}{3}\times 2=\dfrac{2}{3}\neq 6

Hence, it is not a correct expression.

So we are left with option: c)

c)

f(n)=3n

By putting the value of n=2,-1 and 0

we see that the expression matches the table of values.

( since,

when n=2 we have:

f(2)=3\times 2=6

when n= -1 we have:

f(-1)=3\times -1=-3

and when n=0 we have:

f(0)=3\times 0=0 )

Hence, this is a correct expression.

Lesechka [4]3 years ago
4 0

This is F(n) = 3n

The X is an interger which is holding a value

The relationship between Y and X is 3n as we multiply X by 3 to get the value of Y and is proven yet so.

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