Answer:
Option B
Step-by-step explanation:
From the graph attached,
x-intercepts of the graph are x = -1, 2 and 5
y-intercept of the graph is y = 10
Since, x intercepts of a graph define the zeros of the function (y = 0)
Therefore, (x + 1), (x - 2) and (x - 5) are the zero factors of the given graphs.
And the equation of the function will be,
f(x) = a(x + 1)(x - 2)(x - 5)
Since, -intercept of the function is y = 10
Therefore, for x = 0,
y = a(0 + 1)(0 - 2)(0 - 5) = 10
a(10) = 10
a = 1
So the function representing the graph is,
f(x) = (x - 1)(x + 2)(x - 5)
Option B will be the answer.
