Consider the function shown on the graph.
which function does the graph represent?

a. f(x) = (x + 3)(x + 7)
b. f(x) = (x – 3)(x – 7)
c. f(x) = 3(x – 3)(x – 7)
d. f(x) = 11(x + 3)(x + 7)

Option (c) is correct.

The function is  

Step-by-step explanation:

Given : A graph with two zeros at (3,0) and (7,0)

We have to find the function that shows the given graph.

Consider the given graph

Since, (3,0) and (7,0) are the zeros,

The value of function is 0 at 3 and 7

That is f(3) = 0 and f(7) = 0

Thus,

x = 3 and x = 7

That is x - 3 = 0 and x - 7 = 0

That is (x-3)(x-7)=0

Also, when x= 8 then y = 15 is satisfies by only by option (c)

f(x) = 3(x-3)(x-7)

Thus, The function is

thats not a system of equations, that is a solution

you need to give us more information since we can't answer