Question

Which equation could possibly represent the graphed function?

A. f(x) = (x-1)(x+2)(x+3)
B. f(x) = (x-1)(x+2)(x+3)(x+6)
C. f(x) = (x-3)(x-2)(x+1)(x+6)
D. f(x) = (x-3)(x-2)(x+1)

Answer 1

D

Explanation:

given the zeros of a function, say x = a , x = b , then the factors are

(x - a) and (x - b)

and f(x) is the product of the factors , that is

f(x) = (x - a)(x + b)

here the zeros ( where the graph crosses the x- axis ) are

x = 3 , x = 2 , x = - 1 , then corresponding factors are

(x - 3) , (x - 2) , (x - (- 1) ) , that is (x - 3) , (x - 2) , (x + 1) , then

f(x) = (x - 3)(x - 2)(x + 1)