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

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

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

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

y/x=18

step-by-step explanation: