Maths Assignment
Exponential Functions of base a. Exponential functions have the form f(x) = Cax , where a and C are constants such that a 0, a 6= 1, and C 6= 0. (a) Identify the domain, range, any intercept(s), and any asymptote(s) of the exponential function, f(x) = CaxGive an example of an exponential function that exhibits exponential growth. State the function formula and sketch the corresponding graph.Give an example of an exponential function that exhibits exponential decay. State the function formula and sketch the corresponding graph.Explain why a = 1 is excluded in the definition of the exponential function.The Logarithmic Function base a. Logarithmic functions have the form g(x) = loga x, where a 0 and a 6= 1.Identify the domain, range, any intercept(s), and any asymptote(s) of the logarithmic function, g(x) = loga x.Give an example of a logarithmic function, where a 1. State the function formula and sketch the corresponding graph.The Relationship between Exponential Functions and Logarithmic Functions. Consider the exponential function f(x) = a x and logarithmic function g(x) = loga x, where a 0, a 6= 1. (a) In words, explain how the base a exponential and base a logarithmic function are related.Give an example of an exponential and a logarithmic function that illustrate this relationship. For each function, state the function formula and sketch the corresponding graph. Plot the exponential and logarithmic function in the same xy−plane.
Document information
- Uploaded on
- June 12, 2022
- Number of pages
- 6
- Written in
- 2021/2022
- Type
- Exam (elaborations)
- Contains
- Questions & answers
