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determine the x-coordinates of any inflection points in the graph

Determine The Xcoordinates Of Any Inflection Points In The Graph class=

Sagot :

The inflection points of a function are the points at which the function changes its curvature.

It is evident from the graph that each square of the grid has a side 1 unit.

Now, it can be observed that the function is concave down before x = -1, then concave up till x=4, and again concave down afterwards.

It follows that the function changes its concavity at points x = -1, and x = 4.

Therefore, it can be concluded that the function has points of inflection at,

[tex]x=-1\text{ and }x=4[/tex]

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