5.1 part 2
description
Transcript of 5.1 part 2
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5.1 Polynomial FunctionsPart 2
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Describing the Shape of a Cubic Function1. List the function in standard
form2. Describe the end behavior of the
graph3. Determine the possible number
of turning points4. Use a Table to plot points5. Determine increasing and
decreasing intervals
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Example: Describe the Shape of a Cubic Function
x y
-2
-1
0
1
2
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Example: Describe the Shape of a Cubic Function
x y
-2
-1
0
1
2
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Determine the sign of the leading coefficient and the degree of the polynomial.
1. Identify the end behaviorThis tells you whether the leading coefficient a is positive or negative
2. Identify the number of turning points
# of turning points + 1 = possible degree of the polynomial
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Determine the sign of the leading coefficient and the least possible degree of the polynomial.
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Determine the sign of the leading coefficient and the least possible degree of the polynomial.
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Using differences to determine degreeGiven a table of values (or a set of
ordered pairs)Analyze the differences of consecutive
y – values, to determine the least-degree polynomial function that could generate the data◦ If the first differences are constant, the
function is linear◦ If the second differences are constant, the
function is quadratic◦ If the third differences are constant, the
function is cubic◦And so on…
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Example: Determine the degree of the polynomial function with the given data.
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Example: Determine the degree of the polynomial function with the given data.
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HomeworkP 285 #32 – 39, 41 – 49all, 58