Question

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?

Answer 1

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)`.