Increasing & Decreasing Functions (Leaving Cert Mathematics): Quizzes

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Increasing & Decreasing Functions
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10 questions from this quiz

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What region has a negative slope in the curve?

Red region

What property of the first derivative indicates increasing graph?

f′(x)>0f'(x)>0

When is the function f(x)=x/(1−x)f(x)=x/(1-x) increasing?

When f′(x)>0f'(x)>0

What does a negative slope of tangent imply?

Decreasing graph

Which derivative determines if graph is increasing?

First

If f′(x)f'(x) is always positive, what about f(x)f(x)?

Increasing

What to check for a max point?

Both 1 and 2

Which sign of f′(x)f'(x) indicates decrease?

Negative

What helps locate inflection points?

f′′(x)f''(x) zero

What kind of slope do tangent lines have on decreasing curves?

Negative slope

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