11 x1 t15 02 sketching polynomials (2013)

17
Sketching Polynomials When drawing y = P(x) y intercept is the constant

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Page 1: 11 x1 t15 02 sketching polynomials (2013)

Sketching PolynomialsWhen drawing y = P(x) • y intercept is the constant

Page 2: 11 x1 t15 02 sketching polynomials (2013)

23 211 e.g. xxxy

x

y

Page 3: 11 x1 t15 02 sketching polynomials (2013)

When drawing y = P(x) • y intercept is the constant• x intercepts are the roots

Sketching Polynomials

Page 4: 11 x1 t15 02 sketching polynomials (2013)

23 211 e.g. xxxy

x

y

Page 5: 11 x1 t15 02 sketching polynomials (2013)

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

Page 6: 11 x1 t15 02 sketching polynomials (2013)

23 211 e.g. xxxy

x

y

Page 7: 11 x1 t15 02 sketching polynomials (2013)

23 211 e.g. xxxy

x

y

graph starts here

Page 8: 11 x1 t15 02 sketching polynomials (2013)

23 211 e.g. xxxy

x

y

graph starts here graph finishes here

Page 9: 11 x1 t15 02 sketching polynomials (2013)

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

Page 10: 11 x1 t15 02 sketching polynomials (2013)

23 211 e.g. xxxy

x

y

graph starts here graph finishes here

Page 11: 11 x1 t15 02 sketching polynomials (2013)

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

Page 12: 11 x1 t15 02 sketching polynomials (2013)

23 211 e.g. xxxy

x

y

graph starts here graph finishes here

Page 13: 11 x1 t15 02 sketching polynomials (2013)

x

y

23 211 e.g. xxxy

Page 14: 11 x1 t15 02 sketching polynomials (2013)

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

Page 15: 11 x1 t15 02 sketching polynomials (2013)

2211 e.g. 234 xxxxy

Page 16: 11 x1 t15 02 sketching polynomials (2013)

2211 e.g. 234 xxxxy

x

y

Page 17: 11 x1 t15 02 sketching polynomials (2013)

Exercise 4B; 3cei, 4deghi, 6acm 7ac, 8, 11