4. e.g. y x 1 x 1 x 2
3
2
y
x
5. Sketching Polynomials
When drawing y = P(x)
• y intercept is the constant
• x intercepts are the roots
• as x , P(x) acts like the leading term
6. e.g. y x 1 x 1 x 2
3
2
y
x
7. e.g. y x 1 x 1 x 2
3
2
graph starts here
y
x
8. e.g. y x 1 x 1 x 2
3
2
graph starts here
y
graph finishes here
x
9. Sketching Polynomials
When drawing y = P(x)
• y intercept is the constant
• x intercepts are the roots
• as x , P(x) acts like the leading term
• even powered roots look like
or
10. e.g. y x 1 x 1 x 2
3
2
graph starts here
y
graph finishes here
x
11. Sketching Polynomials
When drawing y = P(x)
• y intercept is the constant
• x intercepts are the roots
• as x , P(x) acts like the leading term
• even powered roots look like
or
• odd powered roots look like
or
12. e.g. y x 1 x 1 x 2
3
2
graph starts here
y
graph finishes here
x
13. e.g. y x 1 x 1 x 2
3
2
y
x
14. Sketching Polynomials
When drawing y = P(x)
• y intercept is the constant
• x intercepts are the roots
• as x , P(x) acts like the leading term
• even powered roots look like
or
• odd powered roots look like
or
• If the polynomial can be written as x a , then it is a basic curve
n
15. e.g. y x 1 x 1 x 2 x 2
4
3
2
16. e.g. y x 1 x 1 x 2 x 2
4
3
2
y
x
