1
answer
239
views
7
Problem

For access to Textbook Solutions, a Class+ or Grade+ subscription is required.

Textbook Expert
Textbook ExpertVerified Tutor
22 Nov 2021

Given information

The given graph of the function is:

Step-by-step explanation

Step 1.
  • The function \[y=f\left( x \right)\]is said to be increasing function in an interval if  for that interval and the function is said to be decreasing function in an interval if  for that interval.
  • The function has inflection point where that is the function has inflection point where the slope of the tangent to the curve is 0.
  • The function is said to be concave upwards in an interval if  for that interval and the function  is said to be concave downwards in an interval if  for that interval. In other words, the function is said to be concave upwards in an interval if  is increasing in that interval and the function is said to be concave downwards in an interval if is decreasing in that interval.
  • Draw the graph of the function by mentioning the intervals where the function is increasing and decreasing and where is 0.
  • Draw the graph of the function by mentioning the intervals where the function is concave upwards and concave downwards.

The graph of the function mentioning the intervals where function is increasing and decreasing  and where is 0 is:

The graph of the function mentioning the intervals where the function is concave upwards and concave downwards is:

Unlock all Textbook Solutions

Already have an account? Log in
Start filling in the gaps now
Log in