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     • Curved inwards. Example: A polygon (which has straight sides) is concave when there are "dents" or indentations in it (where the internal angle is greater than 180°)
     www.mathsisfun.com/definitions/concave.html

     Concave Definition (Illustrated Mathematics Dictionary)

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   What is a concave function?

   • A concave function is a function for which any secant line (a line connecting two points on the function) lies below the function. The shape of a concave function looks approximately like an arch or part of an arch. The purpose of a concave function depends on the problem it is modeling. Uses of concave functions in mathematics include:

   Concave Function | Definition, Concavity & Examples - Study.com

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   What does concave mean?

   • Curved inwards. Think "con- cave " (it has a cave in it!) Illustrated definition of Concave: Curved inwards. Example: A polygon (which has straight sides) is concave when there are dents or indentations...

   Concave Definition (Illustrated Mathematics Dictionary) - Math is Fun

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   How do you know if a function is concave?

   • To discern from a graph whether a function is concave, draw secant lines (lines connecting two points on the function). If they lie below the function, the function is concave. To determine algebraically whether a function is concave, see if its second derivative is negative. What is the difference between a convex and concave function?

   Concave Function | Definition, Concavity & Examples - Study.com

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   What are the rules of concavity?

   • The rules of concavity are summarized in the table. Concavity can be analyzed by using derivatives and graphs. For both a single-variable function and a multivariable function, points of inflection are central to finding where a function is concave up vs. down. Take the second derivative, and find where it equals zero or is undefined.

   Concave Function | Definition, Concavity & Examples - Study.com

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   Can a function be both concave up and down?

   • A function can be both concave up and down because the function's concavity switches at one or more points. A point at which a function's concavity changes is called an inflection point. Figure 3: A function with concave down (blue) and concave up (red) portions.

   Concave Function | Definition, Concavity & Examples - Study.com

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   What is the difference between concave and convex functions?

   • A concave function's secant lines lie below the function, while a convex function's secant lines lie above the function. A concave function's second derivative is negative, while a convex function's second derivative is positive. What do you mean by concave function? A concave function is a function whose secant lines lie below the function.

   Concave Function | Definition, Concavity & Examples - Study.com

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3. www.bbc.co.uk › bitesize › articlesIntroduction to algebra - KS3 Maths - BBC Bitesize

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   commutative An operation is commutative if the order does not matter. Multiplication and addition are commutative, eg 4 × 3 = 3 × 4 and 4 + 3 = 3 + 4. and that subtraction and division are not ...

4. www.twinkl.co.uk › resource › t2-m-254505-concaveConcave and Convex Shapes Worksheet (teacher made) - Twinkl

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   This worksheet will check your pupils' understanding of convex and concave shapes. They read the definition, then identify which 2D shapes are convex and which are concave.

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5. Videos

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     Concavity of Functions EXPLAINED with Examples

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     Concavity introduction | Using derivatives to analyze functions | AP Calculus AB | Khan Academy

     30 Jan 2013

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     3. Concavity and Inflection Point - Detailed explanation

     2 Jul 2019

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6. www.twinkl.co.uk › resource › concave-vs-convexConcave vs. Convex Shapes Activity Sheet - Twinkl

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   Get ready for an exciting and engaging math lesson with our Concave vs Convex Shapes Activity Sheet! This resource is perfect for teaching students the difference between concave and convex shapes. With colourful shapes for them to identify and colour, this activity sheet will make learning fun and interactive.

7. www.k5learning.com › free-math-worksheets › thirdThird grade math worksheets - free & printable | K5 Learning

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   Free grade 3 math worksheets. Our third grade math worksheets support numeracy development and introduce division, decimals, roman numerals, calendars and concepts in measurement and geometry. Our word problem worksheets review skills in real world scenarios.

8. www.mathsisfun.com › definitions › concaveConcave Definition (Illustrated Mathematics Dictionary)

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   Illustrated definition of Concave: Curved inwards. Example: A polygon (which has straight sides) is concave when there are dents or indentations...

9. www.khanacademy.org › math › ap-calculus-abConcavity introduction (video) | Khan Academy

   www.khanacademy.org › math › ap-calculus-ab

   Sal introduces the concept of concavity, what it means for a graph to be "concave up" or "concave down," and how this relates to the second derivative of a function.

10. study.com › academy › lessonConcave Function | Definition, Concavity & Examples - Study.com

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    Nov 14, 2023 · A concave function is a function for which any secant line (a line connecting two points on the function) lies below the function. The shape of a concave function looks approximately like an arch...