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Concept explainers
The function f(x) = 5x is an exponential function with base _____; f(−2) = _____, f(0) = _____, f(2) = _____, and f(6) = _____.
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To Evaluate: The base of an exponential function
Answer to Problem 1E
The base of an exponential function
Explanation of Solution
The exponential expression of a function is,
Where,
- a is base of the function.
- x is any real number.
The given equation of the exponential function is,
So, the base of the above function is 5.
Hence, the function
The given equation of the exponential function is,
Substitute
Hence, the value of the exponential function
Substitute 0 for x in the above equation,
Hence, the value of the exponential function
Substitute 2 for x in the above equation,
Hence, the value of the exponential function
Substitute 6 for x in the above equation,
Hence, the value of the exponential function
Chapter 4 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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