Determine whether each table or rule represents a linear or an exponential function. Explain.
y
=
4
⋅
0.3
x
Expert Solution & Answer
To determine
The function represented by given equation is linear or an exponential function.
Answer to Problem 6P
Thus, the equation y=4⋅(0.3)x represents an exponential function.
Explanation of Solution
Given information:
The given equations is y=4⋅(0.3)x are
Concept used:
An equation of the form y=ax+b is linear, y=ax2 a quadratic, y=ax3 a cubic, and y=kax is an exponential function.
The given equation y=4⋅(0.3)x is of the form y=kax that is an exponential equation representing a decreasing exponential function shown in Figure below:
Thus, the equation y=4⋅(0.3)x represents an exponential function.
Conclusion:
Thus, the equation y=4⋅(0.3)x represents an exponential function.
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How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY