Determine the number of x-intercepts that appear on a graph of each function. f (x) = (x + 1)(x - 3)(x - 4) How many X-intercepts are there?

1 Answer
Kavya D. ยท Stefan V.
Feb 18, 2018

There are 3 x-intercepts -> (-1,0), (3,0), (4,0)

Explanation:

To find the x-intercepts, set the y value or f(x) equal to 0.

f(x) = 0

0 = (x+1)(x-3)(x-4) larr Now set each term equal to 0

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

Since the y value is 0, with the above x values, you can find the x-intercept points: (-1,0), (3,0), (4,0).

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