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Consider a function $f(x) = 1- |x| \text{ on } -1 \leq x \leq 1$. The value of $x$ at which the function attains a maximum, and the maximum value of the function are:

 

  1. 0, -1
  2. -1, 0
  3. 0, 1
  4. -1, 2
asked in Set Theory & Algebra by Veteran (75.6k points)   | 485 views

2 Answers

+9 votes
Best answer
Answer: C

Put the value of x of all the options in f(x) and find value of f(x).
answered by Veteran (34k points)  
selected by
why not a??
Because 1 is max value, not -1.
Please elaborate the answer

two values are given in each option.which one to put and which one not to put.

please explain step by step
the question asks "at what x the function has a maximum value" (answer is 0) and "what is that maximum value" (answer is 1)
+1 vote

there are 2 parts 

part A says "value of x at which the function attains a maximum" so at x=0 ,function attains a maximum and

part B says "the maximum value of the function"  so f(0)=1-0=1

so ans should be 0,1

answered by Loyal (2.9k points)  
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