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Continuity: MATH 171 Problems 6 & 7 thumbnail

Continuity: MATH 171 Problems 6 & 7

Proving a piecewise function and a polynomial are continuous

ContinuousContinuous at x=aDiscontinuityDiscontinuous FunctionGraphLimitLimit PropertiesPiecewise FunctionPolynomialRational Function
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Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25 thumbnail

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25

Review of limits, continuity, and the Intermediate Value Theorem

Absolute ValueAsymptoteContinuousContinuous at x=aDiscontinuityEquationGraphHorizontal AsymptoteInfinityIntermediate Value TheoremLeft LimitLimitOne-Sided LimitPiecewise FunctionRational FunctionVectorVertical Asymptote
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MLC WIR 20B M151 week2 #10 thumbnail

MLC WIR 20B M151 week2 #10

Explaining why a piecewise function is discontinuous at a point

ContinuousContinuous at x=aDiscontinuityLimitLimit from the LeftLimit from the RightMATH 151One-Sided LimitPiecewise Function
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Continuity: MATH 151 2.5 Problems 1-6 thumbnail

Continuity: MATH 151 2.5 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

ContinuousContinuous at x=aContinuous FunctionContinuously Differentiable FunctionDiscontinuityDomainEquationGraphIntermediate Value TheoremLimitOne-Sided LimitPiecewise FunctionRational Function
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Studying the Shape of Curves: MATH 151 4.1 Problems 2-7 thumbnail

Studying the Shape of Curves: MATH 151 4.1 Problems 2-7

Using derivatives to find properties of graphs

Absolute MaximumAbsolute MinimumAbsolute ValueConcave DownConcave UpConcavityContinuous FunctionCritical NumberCritical PointCritical ValueCurveDecreasingDerivativeDifferentiationDiscontinuityDomainFirst DerivativeGraphIncreasingInflection PointLocal MaximumLocal MinimumLogarithmPiecewise FunctionPolynomialRational FunctionSecond DerivativeTangent
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Studying the Shape of Curves: MATH 151 Problems 2-7 thumbnail

Studying the Shape of Curves: MATH 151 Problems 2-7

Using derivatives to find properties of graphs

Absolute MaximumAbsolute MinimumAbsolute ValueConcave DownConcave UpConcavityContinuous FunctionCritical NumberCritical PointCritical ValueCurveDecreasingDerivativeDifferentiationDiscontinuityDomainFirst DerivativeGraphIncreasingInflection PointLocal MaximumLocal MinimumLogarithmPiecewise FunctionPolynomialRational FunctionSecond DerivativeTangent
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Where the Graph of a Function is Not Continuous thumbnail

Where the Graph of a Function is Not Continuous

Determining where a piecewise function is continuous from its graph

ContinuousDiscontinuityGraphHow-To CalculusLimitLimit from the LeftLimit from the RightPiecewise Function
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