The table shows the outputs, y, for different inputs, x: input (x) 6 12 15 25 output (y) 14 15 15 16 part a: do the data in this table represent a function? justify your answer. (3 points) part b: compare the data in the table with the relation f(x) = 7x − 15. which relation has a greater value when x = 6? (2 points) part c: using the relation in part b, what is the value of x if f(x) = 6? (5 points)

(A)

Yes, the data given in the table represent a function:

Reason: No input values have more than one output value.

(B)

To find which relation has greater value when x=6.

Given the function:

Substitute the value of x=6 in above function:

or

Therefore, the given function has greatest value i.,e f(x)=27 when x=6 than in the given table(i.e, when x= 6 then y=f(x) = 14).

(C)

Using the relation of Part B i.e then find the value of x if f(x) =6.

Substitute the value of f(x)=6 in the given equation of Part B i.e,

Add the number 15 to both sides of an equation:

Simplify:

21=7x  

Divide the same digit i.e, 7 to both sides of an equation:

On simplify:

3=x.

Therefore, the value of x is, 3.

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step-by-step explanation: