11 x1 t15 02 sketching polynomials (2013)
TRANSCRIPT
Sketching PolynomialsWhen drawing y = P(x) • y intercept is the constant
23 211 e.g. xxxy
x
y
When drawing y = P(x) • y intercept is the constant• x intercepts are the roots
Sketching Polynomials
23 211 e.g. xxxy
x
y
When drawing y = P(x) • y intercept is the constant• x intercepts are the roots• as , P(x) acts like the leading termx
Sketching Polynomials
23 211 e.g. xxxy
x
y
23 211 e.g. xxxy
x
y
graph starts here
23 211 e.g. xxxy
x
y
graph starts here graph finishes here
When drawing y = P(x) • y intercept is the constant• x intercepts are the roots• as , P(x) acts like the leading termx• even powered roots look like or
Sketching Polynomials
23 211 e.g. xxxy
x
y
graph starts here graph finishes here
When drawing y = P(x) • y intercept is the constant• x intercepts are the roots• as , P(x) acts like the leading termx• even powered roots look like or
• odd powered roots look like or
Sketching Polynomials
23 211 e.g. xxxy
x
y
graph starts here graph finishes here
x
y
23 211 e.g. xxxy
When drawing y = P(x) • y intercept is the constant• x intercepts are the roots• as , P(x) acts like the leading termx• even powered roots look like or
• odd powered roots look like or
Sketching Polynomials
• If the polynomial can be written as , then it is a basic curve nx a
2211 e.g. 234 xxxxy
2211 e.g. 234 xxxxy
x
y
Exercise 4B; 3cei, 4deghi, 6acm 7ac, 8, 11