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Functions and Graphs

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1.Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions.

2.Form each of the following:

?A linear equation in one variable
?A linear equation in two variables
?A quadratic equation
?A polynomial of three terms
?An exponential function
?A logarithmic function

3.Plot the graph of all the above equations.

4.Derive quadratic and linear equations from corresponding graphs.

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Solution Summary

This solution is comprised of a detailed discussion of the various types of functions (exponential, logarithmic, quadratic, polynomial, linear equations etc) and their respective graph plotting.

Solution Preview

1.Exponential Function : f(x) = 2x (refer Graph-1)
Conversion to Logarithmic Function: ...

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  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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