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For what values of b is f(x) = b^x an increasing function?

A. Any real number
B. b > 0
C. b > 1
D. 0< b <1

User Cabgef
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1 Answer

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This function is an exponential function that is also asymptotic to the y axis. Asymptotic means that a function approaches a number at the x or y axis but not necessarily touching it. In this case, the function is asymptotic to y =0. using trial and error, we can see that for any values of b the function is really increasing for a certain period. However, when x is ranging on the negative values, the graph begins to show downward directions. The answer here is C. b>1 as shown in the attached graph as an example.
For what values of b is f(x) = b^x an increasing function? A. Any real number B. b-example-1
User Robert Kawecki
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