Question

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

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

Answer 1

Answer: 1) 3

2) 2

3) 3

4) 2

edge

Answer 2

x-intercept states that the graph crosses the x-axis.

i.,e substitute y=f(x)= 0 and solve for x;

Given the function: f(x) = (x+1)(x-3)(x-4)

By definition of f(x)

Substitute f(x) =0 and solve for x;

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

By zero product property: if ab = 0 then either a = 0 or b =0

x+1 = 0 , x-3 =0 and x-4 = 0

⇒ x = -1 , 3 and 4

therefore, the number of x-intercepts are 3