Michael J. answered • 09/08/15
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Applying SImple Math to Everyday Life Activities
f(x) = (1/2)x2 + 2
The domain is the set of x values in which the function exists on the graph. The range is the set of y values in which the function exists on the graph.
Quadratic equations have domains of all real numbers. So the domain is (-∞, ∞).
To find the range, we can examine the characteristics of this function. Since this is a quadratic function with degree 2, and the coefficient of the leading term is positive, we have a parabola that opens upward. Parabolas are symmetrical shapes. The y-intercept is (0, 2) and is also the vertex of this function. We look at the y-coordinate of the function. Therefore, the range is
[2, ∞)
