1. In the exponential function f(x) = bx, x is the
a base
c. exponent
Answers
Answer:
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Answer:
The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent. A simple example is the function
f(x)=2x.
Exponential function $2^x$
As illustrated in the above graph of f, the exponential function increases rapidly. Exponential functions are solutions to the simplest types of dynamical systems. For example, an exponential function arises in simple models of bacteria growth
An exponential function can describe growth or decay. The function
g(x)=(12)x
is an example of exponential decay. It gets rapidly smaller as x increases, as illustrated by its graph.
Exponential function $(1/2)^x$
In the exponential growth of f(x), the function doubles every time you add one to its input x. In the exponential decay of g(x), the function shrinks in half every time you add one to its input x. The presence of this doubling time or half-life is characteristic of exponential functions, indicating how fast they grow or decay.
Parameters of the exponential function
As with any function, the action of an exponential function f(x) can be captured by the function machine metaphor that takes inputs x and transforms them into the outputs f(x).
Step-by-step explanation:
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