Question

write the equation of the graph below in factored form
f(x) = (x + 1)(x-2)(x-3)
f(x) = (x - 1)(x + 2)(x + 3)
f(x) = (x + 1)(x + 2)(x + 3)
f(x) = (x - 1)(x - 2)(x - 3)

Answer 1

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

Step-by-step explanation:

Given

- Graph of the function

To find

- The function in factored form

According to graph we observe:

- the function has 3 roots at x = 1, 2, 3;
- the function is of odd degree;
- the function is increasing, so the coefficient is positive

This gives us the function:

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

The matching answer choice is D