Question

Determine the number of x-intercepts that appear on a graph of each function.

f (x) = (x + 1)(x - 3)(x - 4)

1) 0
2) 1
3) 2
4) 3

Answer 1

option 4

Explanation:

to find the x- intercepts , where the graph crosses the x- axis , let f(x) = 0

given

f(x) = (x + 1)(x - 3)(x - 4)

then let f(x) = 0

(x + 1)(x - 3)(x - 4) = 0

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

x - 4 = 0 ⇒ x = 4

The graph of f(x) has 3 x- intercepts at x = - 1, 3 , 4