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I.S.I. and C.M.I. Entrance

Graph in Calculus | ISI-B.stat | Objective Problem 699

Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Graph in Calculus. You may use sequential hints to solve the problem.

Try this beautiful problem on Graph in Calculus, useful for ISI B.Stat Entrance.

Graph in Calculus | ISI B.Stat Entrance | Problem 699


The adjoining figure is the graph of

graph
  • (a) \(y = 2e^x\)
  • (b) \(y = 2e^-x\)
  • (c) \(y = e^x + e^-x\)
  • (d) \(y = e^x – e^-x + 2\)

Key Concepts


Calculus

Graph

Functions

Check the Answer


Answer: (C)

TOMATO, Problem 699

Challenges and Thrills in Pre College Mathematics

Try with Hints


Griaph in calculus

At first we have to check all the options…..

  1. For \(y = 2e^x\), this is not possibe because \(y = 2e^x\) expression represent only positive side’s of x axis
  2. For \(y = 2e^-x\),This expression also represents one side of x-axis
  3. For \(y = e^x + e^-x\).This expression represents both sides of the x-axise.as we put \(x=0\) then \(y=2\) i.e the curve not starts from the origin
  4. \(y = e^x – e^-x + 2\), this expression also represents both sides of the x-axis

Can you now finish the problem ……….

Therefore ,the correct ans is (c)

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