Find the absolute maximum value and absolute minimum value of

Sandra Allison

Sandra Allison

Answered question

2021-12-09

Find the absolute maximum value and absolute minimum value of the following function in the given intervals
f(x)=2|x| on [-1,6]

Answer & Explanation

Dabanka4v

Dabanka4v

Beginner2021-12-10Added 36 answers

Step 1 Given
f(x)=2|x|
Step 2 Finding the absolute maximum and absolute minimum value
f'(x)=2, if x>0
=-2 if x<0
When x[0,6], f(x) is increasing
When x[1,0], f(x) is decreasing
f(1)=2(1)
=2
f(0)=0
f(6)=12
f(x) is minimum at x=0, and absolute minimum value = f(0)=2(0)=0
f(x) is maximum at x=6 and Absolute maximum value =12

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?