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3 years ago

7

What is the maximum number of relative extrema contained in the graph of this function f(x)=3x^3-x^2+4x-2

2 answers:

Sergeeva-Olga [200]3 years ago

5 0

The maximum number of turning points in a cubic function is 2.

In this case,

$f(x)=3x^3-x^2+4x-2\implies f'(x)=9x^2-2x+4$

The discriminant is $(-2)^2-4(9)(4)=-140$ , which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.

sergeinik [125]3 years ago

5 0

Answer:

the answer is 2 (apex)

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Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

$\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}$

Function B:

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Required

Which has a greater rate of change

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Where:

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Where

m is the rate of change

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Answer:

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CHECK:

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