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Exponential and Logarithmic Functions

Problems

Exponential Functions

Logarithmic Functions

Problem : Simplify the following expression: 3( x + 2) .

3( x + 2) = 3x×32 = 9×3x .

Problem : What is y-intercept of the graph of the function b×a x ?

The y-intercept is at (0, b) .

Problem : For what values of x is the function f (x) = 2×2x less than 1 ?

f (x) < 1forallx < - 1 .

Problem : Where do the graphs of y = a x andy = a -x intersect?

They intersect at the point (0, 1) .

Problem : Does the function f (x) = ()x increase or decrease as x increases or decreases? How about the function f (x) = 3x ?

f (x) = ()x increases as x decreases and decreases as x increases. f (x) = 3x decreases as x decreases and increases as x increases.

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