Segment One Collaboration Assessment Template

Fill in the blanks for the extended-response question to create your original problem. Please use the examples for inspiration but be sure to choose your own functions and values. Show all necessary calculations.

Your Name: _______stevo_______________________

Extended-Response Question

Let f be the function given by f(x) = (create an original polynomial of degree 3 with at least three terms).

ex: f(x) = x³ - 3x² - 10x + 24

Part A: Find the intercepts of f (x).

Part B: Determine the end behavior of f (x).

Let g be the function given by g(x) = (create an original polynomial of degree 2 with at least two terms).

ex: g(x) = x² + 5x + 6

Part C: Determine and compare the ranges of f (x) and g(x) using complete sentences.

Part D: LetFind h(x) and determine any asymptotes.

Let k be the function given by k(x) = (create an original radical function).

ex:

Part E: Determine the domain of k(x).

Part F: Determine k^-1(x) and prove algebraically that k(x) and k^-1(x) are inverse functions.

Partner's Solution to the Extended-Response Question:

Part A:

Part B:

Part C:

Part D:

Part E:

Part F: