find x-interceps and the y-intercepts.  f(x)=-x^2+2+3
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The y-intercept is found through f(0)=3. The x-intercept is when y=0: -x^2+2x+3=0 or x^2-2x-3=0=(x-3)(x+1), so x=3 and -1 are the intercepts. The graph of f(x) is an inverted U shape cutting the x-axis at -1 and 3 and cutting the y- (f(x))axis at 3.

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