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. · 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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