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.

Verify the answers in Exercise 98 by evaluating ƒ(3), ƒ(4), and ƒ(5).

Data from in Exercise 98

Based on the appropriate figure alone, what is a logical prediction for the value of

Transcribed Image Text:

f(x) = = 1 -x4 24 - 1 23 x3 + -x² 24 4 3 4 -x + 1