Question

f(x) Which function could represent this graph? (1) f(x) = (r + 1)(x² + 2) (3) f(x) = (1 - 1)(r? - 4) (2) f(x) = (x - 1)(x - 2) (4) f(x) = (x + 1)(x² + 4)

Answer 1

Concept: graph of polynomials functions

The graph of the functions cut the x-axis at three different points from the left they are given as

`x=-2,x=1,x=2`

then the factor of the function becomes

`(x+2)(x-1)(x-2)`

Simplifying further by applying difference of two squares the function becomes

`f(x)=(x-1)(x^2-4)`

Therefore the right option is 3