# 11x1 t03 02 sketching polynomials (2011)

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• Sketching Polynomials

• Sketching PolynomialsWhen drawing y = P(x)

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

• 23 211 e.g. xxxy

x

y

• Sketching PolynomialsWhen drawing y = P(x) y intercept is the constant x intercepts are the roots, solve P(x)=0

• 23 211 e.g. xxxy

x

y

• Sketching PolynomialsWhen drawing y = P(x) y intercept is the constant x intercepts are the roots, solve P(x)=0 as , P(x) acts like the leading termx

• 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

• Sketching PolynomialsWhen drawing y = P(x) y intercept is the constant x intercepts are the roots, solve P(x)=0 as , P(x) acts like the leading termx even powered roots look like or

• 23 211 e.g. xxxy

x

y

graph starts here graph finishes here

• 23 211 e.g. xxxy

x

y

graph starts here graph finishes here

• Sketching PolynomialsWhen drawing y = P(x) y intercept is the constant x intercepts are the roots, solve P(x)=0 as , P(x) acts like the leading termx even powered roots look like or

odd powered roots look like or

• 23 211 e.g. xxxy

x

y

graph starts here graph finishes here

• 23 211 e.g. xxxy

x

y

graph starts here graph finishes here

• x

y

23 211 e.g. xxxy

• Sketching PolynomialsWhen drawing y = P(x) y intercept is the constant x intercepts are the roots, solve P(x)=0 as , P(x) acts like the leading termx even powered roots look like or

odd powered roots look like or

if the curve can be written as , then it is a basic curve. nx a

• 2( ) 1 3 0ii x x

• 2( ) 1 3 0ii x x y

x13

• 2( ) 1 3 0ii x x y

x13

• 2( ) 1 3 0ii x x y

x13

Q: for what values of x is thecurve below the x axis?

• 2( ) 1 3 0ii x x y

x13

Q: for what values of x is thecurve below the x axis?

• 2( ) 1 3 0ii x x y

x13

Q: for what values of x is thecurve below the x axis?

3 or 1x x

• Exercise 3B; 2, 3, 4ac, 5ac, 6bdg, 7ac, 8

Slide Number 1Slide Number 2Slide Number 3Slide Number 4Slide Number 5Slide Number 6Slide Number 7Slide Number 8Slide Number 9Slide Number 10Slide Number 11Slide Number 12Slide Number 13Slide Number 14Slide Number 15Slide Number 16Slide Number 17Slide Number 18Slide Number 19Slide Number 20Slide Number 21Slide Number 22Slide Number 23Slide Number 24Slide Number 25

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