The polynomial function will give the maximum number of interior regions formed in a circle if x
Question:
The polynomial functionwill give the maximum number of interior regions formed in a circle if x points on the circumference are joined by all possible chords. For x = 1, 2, 3, 4, and 5, see FIGURES A–E.
For example, in FIGURE A we have 1 point, and because no chords can be drawn, we have only 1 interior region. In FIGURE B there are 2 points, and 2 interior regions are formed. Apply this information and work Exercises in order.
Observe a pattern in the results of Exercises 97–99. Use the pattern to make a logical prediction for the value of ƒ(6). Does the prediction equal ƒ(6)?
Data from in Exercise 97–99
Use the given polynomial function to verify that ƒ(1) = 1 and ƒ(2) = 2.
Based on the appropriate figure alone, what is a logical prediction for the value of
Verify the answers in Exercise 98 by evaluating ƒ(3), ƒ(4), and ƒ(5).
Step by Step Answer:
Intermediate Algebra
ISBN: 9780134895987
13th Edition
Authors: Margaret Lial, John Hornsby, Terry McGinnis