The monotone interval of - x ^ 2 + X + 2 is () A、[-1,1/2] B、(-∞ ,-1] C、[2,＋∞)D、[1/2,2] | Math enthusiast | Mathematical art

The monotone interval of - x ^ 2 + X + 2 is () A、[-1,1/2] B、(-∞ ,-1] C、[2,＋∞)D、[1/2,2]

First, we have to satisfy - x ^ 2 + X + 2 ≥ 0, and the solution is - 1

Monotone interval problem of mathematical function in grade one of senior high school
The absolute value of F (x) = (the square of x-2x)
F (x) = the absolute value of the square of X-2 (x) (the absolute value in brackets)
Can you tell me what to do in the future
The first problem is monotonic increasing interval
The second problem is monotone increasing interval

The best way to do this is to draw
In the first question, draw the parabola image, and then fold the part of Y less than 0 about the X axis, we can see that the function is an increasing function on (0,1) or (2, + infinity)
In other words, it can be classified and discussed as X is greater than 0 or less than 0

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