SOLUTION: find the domain and range from H(t)=2t^2+8t+14
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Question 518451: find the domain and range from H(t)=2t^2+8t+14
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
This is a polynomial function so it is defined for all real numbers. The graph is a concave up parabola, so the value of the function at the vertex is the minimum value in the range.
For a quadratic function of the form:
\ =\ ax^2\ +\ bx\ +\ c)
the coordinates of the vertex are found by:
\ =\ \rho\left(\frac{-b}{2a}\right))
Then the range is the interval
\ \leq\ y\ \leq\ \infty)
John
My calculator said it, I believe it, that settles it
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