SOLUTION: Given the quadratic function y = 1 + 4x - x2 . Suppose the domain is restricted to the interval (-½, 4), what is the corresponding range of the function in interval notation?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Given the quadratic function y = 1 + 4x - x2 . Suppose the domain is restricted to the interval (-½, 4), what is the corresponding range of the function in interval notation?      Log On


   

Question 998538: Given the quadratic function y = 1 + 4x - x2 . Suppose the domain is restricted to the interval (-½, 4), what is the corresponding range of the function in interval notation?
Answer by ikleyn(52778) About Me  (Show Source):
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1+%2B+4x+-+x%5E2 = -%28x-2%29%5E2%2B5  is the downward parabola with the maximum equal to  5  at  x = 2.

Next,  at  x = -1%2F2%29   ----->   y = -1.25.

At  x = 4   ----->   y = 1.

The corresponding range is the interval   (-1.25, 5).