Question

HELP ME QUICK PLEASEE!!

4. (03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input (x) 3 4 5 6
Output (y) 3 4 5 6
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) - 2x + 16. 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) - 40? (5 points)
(10 points)

Answer 1

A) is a function

B) f(x) is greater

C) x = 12

Explanation:

A) Yes, the relation is a function.

A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.

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B) The table says y=6 for x=6.

f(6) = 2(6)+16 = 28

f(x) has a greater value for x=6.

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C) Substituting the given information, we have ...

40 = 2x +16

24 = 2x

12 = x

The value of x is 12 when f(x) is 40.