In this worksheet, we will practice observing the links between the degree of a polynomial function, the x-intercepts of its graph, and the roots of the function.

**Q3: **

The graph of meets the -axis at the points , 0, and 3. The vertical lines, together with the -axis, divide the plane into eight regions (a)–(h).

In which regions does the graph of lie?

- A (a), (b), (g), (h)
- B (e), (f), (c), (h)
- C (e), (f), (c), (d)
- D (a), (b), (g), (d)
- E (a), (f), (c), (h)

**Q4: **

Determine whether the following statement is true: If the degree of a polynomial is even, then its graph meets the -axis an even number of times.

- Afalse
- Btrue

**Q5: **

Determine whether the following statement is true: If the graph of a polynomial meets the -axis an even number of times, then the degree of the polynomial is even.

- A false
- B true

**Q6: **

Determine whether the following statement is true: If the graph of a function meets the axis infinitely many times, then the function is not polynomial.

- A true
- B false

**Q7: **

True or False: If the graph of a polynomial function has a maximum but no minimum, then the degree of the polynomial is even.

- A True
- B False