Answer:
The smallest x-intercept is x = -1, from equation 3.
Step-by-step 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) [tex]f(x) = 3x - 9[/tex]
[tex]0 = 3x - 9\\3x = 9\\x = 1[/tex]
(b) [tex]f(x) = 4[/tex]
Since this is a constant function for which f(x) = 4, then there will be no x-intercept.
(c) [tex]f(x) = 3x - 9[/tex]
[tex]0 = \sqrt{x + 1}\\(0)^2 = (\sqrt{x + 1})^2\\0 = x + 1\\x = -1[/tex]
(d) [tex]f(x) = x^2\\[/tex]
[tex]0 = x^2\\x = 0[/tex]
From these options the smallest x-intercept is x = -1.
