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

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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