Algebra II / Mr. Hansen 10/23/2005

Name: _________________________

Additional Review Problems Through §5-5
(Supplement to Cumulative Review, pp. 224-227)

	For these questions, let y = f (x) = 2x^2 + 3x – 7. Use your calculator to help you with some of these. Note, however, that the calculator is of little use in #21 through #23. WARNING: Please do not peek at the answers until after you have answered all, or nearly all, of the questions. Otherwise, the learning value of this “practice test” is greatly diminished.
11.	f is a function (as opposed to a mere _________ ), since no _________ value is ever associated with more than one _________ value. In other words, each y-value is _________ - _________ by a “kafunction” machine.
12.	Moreover, f is a _________ function since it has degree _________ .
13.	f (0) = _________ , a value known as the _________-intercept.
14.	f (1) = _________ . Is 1 a root of f ? _________ How do you know? _________
15.	How many real solutions are there to the equation f (x) = 3? _________
16.	How many real solutions are there to the equation f (x) = 0? _________
17.	How many real solutions are there to the equation f (x) = –65/8? _________ What are they? _________
18.	Write the equation of the axis of symmetry of f.
19.	How many real solutions are there to the equation f (x) = –10? _________
20.	The following terms are synonyms: (a) solution to f (x) = 0, (b) root, (c) x-intercept, and (d) _________
21.	Use the quadratic formula to find the exact values (no decimals) of the zeros of f. Then use algebra to prove that each value is correct.
22.	Use the quadratic formula to find the solutions (no decimals) to the equation f (x) = –73/8. Then use algebra to prove that each value is correct. Use the complex number system if necessary.
23.	Use the quadratic formula to find the exact solutions to the equation f (x) = –8. Then use algebra to prove that each value is correct. Use the complex number system if necessary.