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

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions