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


But try the problem first…

Answer: (C)

Source
Suggested Reading

TOMATO, Problem 699

Challenges and Thrills in Pre College Mathematics

Try with Hints


First hint

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 ……….

Final Step

Therefore ,the correct ans is (c)

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