Locate and classify all extrema in the graph. (By classifying the extrema, we mean listing whether each extremum is a relative or absolute maximum or minimum.) Also, locate any stationary points or singular points that are not relative extrema. (Order your answers from smallest to largest x.) has a relative minimum at (x, y)= 1,-1 has an absokte maximum at (x, y)- -1,2 has an absolute minimum at (x, y) -1,-1
Locate and classify all extrema in the graph. (By classifying the extrema, we mean listing whether each extremum is a relative or absolute maximum or minimum.) Also, locate any stationary points or singular points that are not relative extrema. (Order your answers from smallest to largest x.) has a relative minimum at (x, y)= 1,-1 has an absokte maximum at (x, y)- -1,2 has an absolute minimum at (x, y) -1,-1
Locate and classify all extrema in the graph. (By classifying the extrema, we mean listing whether each extremum is a relative or absolute maximum or minimum.) Also, locate any stationary points or singular points that are not relative extrema. (Order your answers from smallest to largest x.) has a relative minimum at (x, y)= 1,-1 has an absokte maximum at (x, y)- -1,2 has an absolute minimum at (x, y) -1,-1
Locate and classify all extrema in the graph. (By classifying the Extrema, we mean listing whether each extremum is a relative or absolute maximum or minimum.) Also, locate any stationary points or singular points that are not relative extrema. (Order your answers from smallest to largest X.)
A relative minimum
an absolute maximum
an absolute minimum
a relative maximum
Transcribed Image Text:Locate and dassify all extrema in the graph. (By dassifying the extrema, we mean listing whether each extremum is a relative or absolute maximum or minimum.) Also, locate any stationary points or singular points that are not relative extrema. (Order your answers from smallest to largest x.)
has a relative minimum at (x, y)=
1,-1
has an absoute maximum v at (x, y)-
-1,2
f has an absolute minimum v
at (x. y)
1,-1
has a relative maximum v at (x. y)=
-1,2
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
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