Question

Please help

What is a function? Can the following set of ordered pairs represent functions? Why or why not? A =(-4,-4), (2,0), (6,4) ,(10,2) B=(9,3), (9,-3), (4,2), (5,-2) C=(-3,7), (-2,7), (1,7),(0,7)

Answer 1

A can represent a function because X isn't being repeated but for B nine is getting repeated so it is not a function because every input has to have one output

Answer 2

A and C represent a function and B doesn't represent.

Explanation:

A function is a relation that maps one output value of y for each input value of x.

A. Ordered pairs can be written as relation

• -4→-4;
• 2→0;
• 6→4;
• 10→2.

Here each input value of x determines one output value of y and this set of ordered pairs represents function.

B. Ordered pairs can be written as relation

• 9→3;
• 9→-3;
• 4→2;
• 5→-2.

Here for input value x=9 there are 2 output values of y (y=3 or y=-3). This set of ordered pairs doesn't represent function.

C. Ordered pairs can be written as relation

• -3→7;
• -2→7;
• 1→7;
• 0→7.

There is exactly one y for each x, then this set of ordered pairs represents function.