Answer:
y= (x+3) (x-1) (x-5)
Step-by-step explanation:
The graph crosses the x axis at the points -3,1,5
These are also called the zeros
f(x) =k (x-a) (x-b) (x-c) .....
where a,b,c,... are the zeros of the function and k is a constant
f(x) = k * (x--3) (x-1) (x-5)
f(x) = k(x+3) (x-1) (x-5)
To help determine the value of k
Take another point at x = 0, we know the value is positive
f(0) = k(3) (-1) (-5)
f(0) = k(15)
That means k must be greater than 0 Looking at the graph, it should be around 1
f(x) = (x+3) (x-1) (x-5)
