exponential function

Updated: 4/27/2020

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- 04/19/20
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- What's an exponential function? What does it express? (10 pts)An exponential function is a mathematical function of the following form:f ( x ) = a xwhere x is a variable, and a is a constant called the base of the function.What's the equation for an exponential function? What do its elements mean? (15 pts)In an exponential function, the independent variable, or x-value, is the exponent, while the base is a constant. For example, y = 2x would be an exponential function. Here's what that looks like. The formula for an exponential function is y = abx, where a and b are constants
- What's the domain for an exponential function? (10 pts)The domain of exponential functions is all real numbers.What's the range for an exponential function? (10 pts)The range is all real numbers greater than zero. The line y = 0 is a horizontal asymptote for all exponential functions. When a > 1: as x increases, the exponential function increases, and as x decreases, the function decreases.
- How can we apply the exponential functions in real life situations? Give two examples (15 pts)Exponential functions are used to model populations, carbon date artifacts, help coroners determine time of death, compute investments, as well as many other applications.