SOLUTION: find the domain and range from H(t)=2t^2+8t+14

Algebra ->  Functions -> SOLUTION: find the domain and range from H(t)=2t^2+8t+14      Log On


   



Question 518451: find the domain and range from H(t)=2t^2+8t+14
Answer by solver91311(24713) About Me  (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:



the coordinates of the vertex are found by:





Then the range is the interval



John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism