ADVANCED EXERCISES - Exponents and Exponential Functions

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(1) Given f(x) = ---, evaluate and simplify the following:
                  

 (a) f(x) - f(5)
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        x - 5

 (b) f(9 + h) - f(9)
     ---------------
            h

 (c) f(x + h) - f(x)
     ---------------
            h

( Click On HINT For Some Help , Click On SOLUTION To See The Answer )

(2) Rewrite each expression as a power of x.

(a)

(b)

( HINT , SOLUTION )

(3) Simplify.

 (a)       e
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      (esin x)sin x

 (b) sin2(ex) + cos2(ex)

 (c) 

( HINT , SOLUTION )

(4) Graph each of the following functions.

(a) y = 2 + e^-x

(b) y = e^|x|

(c) y = e^-|x|

( HINT , SOLUTION )

(5) Solve the inequality 2^x 2

(Hint: examine the graph.)

( HINT , SOLUTION )

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