Question

In: Math

Consider this table of values for a function: x f(x) -3 15 -2 2 -1 -5...

Consider this table of values for a function:

x

f(x)

-3

15

-2

2

-1

-5

0

-3

1

4

2

8

3

-12
  1. How many zeroes does this function appear to have?
  2. Where are those zeroes (give intervals of x-values). Use interval notation.
  3. Can you be guaranteed that those are the only zeroes? Why or why not?
  4. If I told you that the table represented a third degree (cubic) polynomial, is that enough to guarantee that those are the only zeroes?
  5. What theorem explains your answers to # 1 through 4?

Solutions

Expert Solution

The answers are given below

milcah answered 1 year ago
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