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frutty [35]
3 years ago
8

How many inflection point(s) do you see ?

Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0

Answer:

  7

Step-by-step explanation:

There is a point of inflection at each point where the graph crosses the line y=2. There are 7 points of inflection shown.

__

A point of inflection is where the graph changes from being concave downward to concave upward, or vice versa. For a sine function, that is everywhere the function crosses its midline.

fenix001 [56]3 years ago
5 0

Answer:

7 inflection points

Step-by-step explanation:

The given function f(x)=sinx+2 has a midline of y=2 where each point of the function that intersects the line is an inflection point. Inflection points are where the concavity changes, defined by when the second derivative is equal to 0 or undefined.

f(x)=sin(x)+2

f'(x)=cos(x)

f''(x)=-sin(x)

0=-sin(x)

x=\pi n for any integer n

From [-10,10], there are 7 inflection points, which arex=-3\pi,-2\pi,-\pi,0,\pi,2\pi,3\pi

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