mathleaks.com mathleaks.com Start chapters home Start History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
Expand menu menu_open Minimize
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open home
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Describing Key Features of Functions

Describing Key Features of Functions 1.2 - Solution

arrow_back Return to Describing Key Features of Functions
a

A function is increasing if its -value increases when moving from left to right, and it's decreasing the -value decreases. This means that the left half of the graph is decreasing and the right half is increasing.

It's decreasing up until and then it starts to increase. It gives us the following intervals.

b

The function is increasing up until It's also increasing from to infinity.

Between these intervals the function values decrease going left to right. That means it's decreasing.

This gives us the following increasing and decreasing intervals.

c

This graph is a straight line, which means the function is either increasing or decreasing for all values of Here, we note that the function values increase when moving to the right — the function is increasing.