Hi i need help with my homework if you could show work so i understand how it is done.

Math 1050 HW #4 – Sections 2.1 and 2.2

Name: ____________________________________

Please show all of your work. Scan your solutions into a pdf file and upload it into the homework assignment.

1. Use the Intermediate value theorem to show that H ( x) x1000 x 3 has a root on [0, 2] .

2. Find a function that could be represented by this graph:

3. Why must every polynomial of odd degree have at least one zero?

4. Can an x-intercept of a polynomial function yield a local maximum or local minimum? Verify with a sketch or

explanation.

5. Can an x-intercept of a polynomial function yield an absolute maximum or absolute minimum? Verify with a

sketch or explanation.