Therefore, to find the range of a quadratic function, we have to determine its maximum or minimum point. This can be easily found by making a basic graph of the function. Alternatively
Finding the range of a quadratic by using the axis of symmetry to find the vertex. To find the range you need to know whether the graph opens up or down.
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It turns out all we need to know in order to determine the range of a quadratic function is the -value of the vertex of its graph, and whether it opens up or down. This is easy to tell from a
range\:y=\frac{x^2+x+1}{x} range\:f(x)=x^3; range\:f(x)=\ln (x-5) range\:f(x)=\frac{1}{x^2} range\:y=\frac{x}{x^2-6x+8} range\:f(x)=\sqrt{x+3} range\:f(x)=\cos(2x+5) range\:f(x)=\sin(3x)
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