Power and Exponential Function PDF

POWER AND EXPONENTIAL FUNCTION
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Table of Contents
Introduction................................................................................................................ 3
Power functions.......................................................................................................... 4
Application of power functions................................................................................ 5
Exponential functions................................................................................................. 5
Application of exponential function.........................................................................6
Which is bigger?......................................................................................................... 6
Conclusion.................................................................................................................. 6

Introduction.
Power function and Exponential function and can be related interactively, by use
of applets. The properties like the y-intercept, x-intercept, range and domain, intervals of
increasing and decreasing of the graphs of the power and Exponential functions are
related in this assignment. The exponential function properties is given in the form:
f ( x)=ax and power function is given in the following format: g ( x )=xa CITATION TIM14 \l
1033 (TIMATH.COM, 2014)
Both functions are related interactively by altering the parameters ai(which is the
power in the power functions and it is the base of the exponential functions
(TIMATH.COM, 2014). The value a can take any integer value from negative infinity to
infinity.
Assuminga=2∧−10 ≤ x ≤ 10, the graph below shows the different of the two
graphs. (All simulation is done using MATLAB).
Figure 1: Exponential function and power function for a=2.