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Olegator [25]
3 years ago
13

An exponential function is graphed for all real numbers. This includes which of the following sets of numbers?

Mathematics
1 answer:
anygoal [31]3 years ago
8 0

<span>In addition to linear, quadratic, rational, and radical functions, there are exponential functions. Exponential functions have the form f(x) = <span>bx</span>, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent.</span>

 

<span>An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.</span>

 

<span>Before you start,   f(0) = 2<span>0 </span>= 1</span>

<span>After 1 hour           f(1) = 21 = 2</span>

<span>In 2 hours              f(2) = 22 = 4</span>

<span>In 3 hours              f(3) = 23 = 8</span>

and so on.

 

 

<span>With the definition f(x) = <span>bx</span> and the restrictions that b > 0 and that b ≠ 1, the domain of an exponential function is the set of all real numbers. The range is the set of all positive real numbers. The following graph shows f(x) = 2x.</span>

<span> </span>

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