Answer:
a. The function is increasing when [tex]x>4[/tex] and decreasing when [tex]x<4[/tex].
b. The function is greater than zero when [tex]x<3[/tex] and [tex]x>5[/tex]
c. The function is less than zero when [tex]3<x<5[/tex]
Step-by-step explanation:
a. The function [tex]f(x)[/tex] is increasing when it's instantaneous slope ( the slope of the line tangent to the graph ) is positive, and it is decreasing when the instantaneous slope is negative. We see from the graph of [tex]f(x)[/tex] that for [tex]x>4[/tex] the instantaneous slope is positive, and for [tex]x<4[/tex] the slope is negative.
b. From the graph we see that the function is greater the zero (has positive values ) when [tex]x<3[/tex] and[tex]x>5[/tex].
c. The graph of the function is less than zero ( is negative) when [tex]3<x<5.[/tex]
