Learning Resources
Outcomes
By the end of this lesson you will be able to answer questions like the ones in the pre-test below.
Approach #1
Answer the questions on the pre-test below in your Math 3103 binder. Then refer to the pages of the lesson that contain instruction on the questions you were unable to do, for which you got an incorrect answer, or for which you would like some further explanation.
Approach #2
Proceed directly to the first page of the lesson without attempting the pre-test. To do this simply click on the Lesson button above. You can then return to this pre-test later and use it as a worksheet.
Pre-test
For each of the graphs below:
(a) Identify the type of function it represents (i.e. constant, linear, quadratic, etc.).
(b) Tell if the leading coefficient of the function is positive or negative.
(c) Indicate the number of real zeros and if they are distinct or identical.
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Find the function for each of the graphs shown below:
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Students will be expected to:
- Recognize and draw basic graphs of polynomial functions to degree 4.
- Use graphs to obtain precise polynomial functions.
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- Functional notation.
- The concept of the zero of a function.
- The x-intercepts of the graph of a function.
- The relation between the zeros of a function and the x-intercepts of its graph.
- The "basic shape" for graphs of polynomial functions to degree four.