a polynomial, a trigonometric, and an exponential function.

Question

a) Keeping in mind the rest of the question, write out algebraically and sketch an example of a polynomial, a trigonometric, and an exponential function.

b) How can you tell from looking at your function if it is polynomial, trigonometric or exponential?

c) Generate a table of values for each of your function. [1 mark each, 3 total] Explain how you can tell from looking at your table of values that a function is polynomial, trigonometric or exponential?

d) State the domain and range of each function in a).

e) Give an example of a real life application of each function, and explain how it can be used. [2 marks for each function, 6 total] Provide a detailed solution and an interpretation for each of your functions under that real life application.

Answer 1

polynomial: y=x^2 +2x

trig: y = sinx

exponential: y = e^x

poly: variable is the base

exp: variable is the exponent

trig: cyclical, it repeats forever, variable is an angle

exp end behavior approaches infinity, other end approaches a limit

poly both ends approach either infinity or neg infinity