In pediatrics they say "height velocity" to refer to the growth in stature per year. It does not steadily increase. Use a graph to locate the absolute maximum and absolute minimum. Another word for Rate of Change. 3x+ 6= 42 x=? To find the ratio, put the difference of the outputs as the numerator and the difference of the inputs as the denominator. To learn more, see our tips on writing great answers. y= -3x + 12. slope is -3. Use these to determine the intervals on which the function is increasing and decreasing. (The singular form is extremum.) Often, the term local is replaced by the term relative. For the second derivative you can say "acceleration". To locate the local maxima and minima from a graph, we need to observe the graph to determine where the graph attains its highest and lowest points, respectively, within an open interval. 3, we decreased y of x by 6. { "1.01:_Prelude_to_Functions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.02:_Functions_and_Function_Notation" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.03:_Domain_and_Range" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.04:_Rates_of_Change_and_Behavior_of_Graphs" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.05:_Composition_of_Functions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.06:_Transformation_of_Functions" : "property get [Map 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"extrema", "average rate of change", "local maximum", "local minimum", "authorname:openstax", "license:ccby", "showtoc:no", "transcluded:yes", "source[1]-math-1294", "program:openstax", "licenseversion:40", "source@https://openstax.org/details/books/precalculus" ], https://math.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fmath.libretexts.org%2FCourses%2FCoastline_College%2FMath_C170%253A_Precalculus_(Tran)%2F01%253A_Functions%2F1.04%253A_Rates_of_Change_and_Behavior_of_Graphs, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), Finding the Average Rate of Change of a Function, Using a Graph to Determine Where a Function is Increasing, Decreasing, or Constant, Analyzing the Toolkit Functions for Increasing or Decreasing Intervals, Use A Graph to Locate the Absolute Maximum and Absolute Minimum, source@https://openstax.org/details/books/precalculus.
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