determine the number of x - intercepts that appear on a graph of each function.\n\n$f(x)=(x + 1)(x - 3)(x…
determine the number of x - intercepts that appear on a graph of each function.\n\n$f(x)=(x + 1)(x - 3)(x - 4)$
Answer
Explanation:
Step1: Recall x - intercept definition
The x - intercepts of a function (y = f(x)) are found by setting (f(x)=0).
Step2: Set the function equal to 0
Set ((x + 1)(x - 3)(x - 4)=0).
Step3: Apply zero - product property
If (ab = 0), then (a=0) or (b = 0). So (x+1 = 0) gives (x=-1), (x - 3=0) gives (x = 3), and (x - 4=0) gives (x = 4).
Answer:
3