Question

Which function has the smallest x-intercept value, if it exists?

O f(x) = 3x – 9
O F(x) = +4
O f(x) = Vx+1
Of(x) = x²

Answer 1

c

Explanation:

edge 100%

Answer 2

The smallest x-intercept is x = -1, from equation 3.

Explanation:

The x-intercept value of a function happens when "y", or in this case f(x), is equal to 0. Therefore we need to analyze each equation by making f(x) = 0 and finding x.

(a)
`f(x) = 3x - 9`

`0 = 3x - 9\\3x = 9\\x = 1`

(b)
`f(x) = 4`

Since this is a constant function for which f(x) = 4, then there will be no x-intercept.

(c)
`f(x) = 3x - 9`

`0 = √(x + 1)\\(0)^2 = (√(x + 1))^2\\0 = x + 1\\x = -1`

(d)
`f(x) = x^2\\`

`0 = x^2\\x = 0`

From these options the smallest x-intercept is x = -1.