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Questions and Answers
Which of the following statements about exponential functions is true?
Which of the following statements about exponential functions is true?
- Exponential functions always have a positive slope (correct)
- Exponential functions always have a negative slope
- Exponential functions have a constant slope
- Exponential functions can have a positive or negative slope
What is the general shape of the graph of an exponential function?
What is the general shape of the graph of an exponential function?
- An exponential curve (correct)
- A sinusoidal curve
- A parabola
- A straight line
Which of the following equations represents an exponential function?
Which of the following equations represents an exponential function?
- $y = 3^x$ (correct)
- $y = \log(x)$
- $y = \sin(x)$
- $y = 2x + 3$
Which of the following correctly describes exponential growth and decay?
Which of the following correctly describes exponential growth and decay?
What is the mathematical expression for the exponential growth of a colony after t hours?
What is the mathematical expression for the exponential growth of a colony after t hours?
Which of the following is an example of an exponential function?
Which of the following is an example of an exponential function?
What is the general shape of the graph of an exponential function?
What is the general shape of the graph of an exponential function?
Which of the following equations represents a fundamental polynomial function?
Which of the following equations represents a fundamental polynomial function?
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Study Notes
Exponential Functions
- Exponential functions have a general shape of a graph that is asymptotic to the x-axis.
- The equation representing an exponential function is f(x) = a^x, where a is a constant.
- Exponential growth and decay are correctly described as a rapid increase or decrease in a quantity over time.
- The mathematical expression for exponential growth of a colony after t hours is N(t) = N0 * a^t, where N0 is the initial population and a is the growth rate.
- An example of an exponential function is f(x) = 2^x.
- A fundamental polynomial function is not an exponential function, and has a different equation representation.
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