Question

Consider the function shown on the graph.

Answer 1

The answer is the third graph.

Answer 2

Answer:

Option (c) is correct.

The function is $f(x) =3(x-3)(x-7)$  

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