SOLUTION: What is the range of y=2x-7x^2?
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Question 1108738: What is the range of y=2x-7x^2?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
you are given the parabola opens downwards ( is negative number), and it has a maximum at vertex
so, coordinate of the vertex will be greatest value of the range
now find the coordinates of the vertex:
The -coordinate of the vertex can be found by the formula , and to get the y value of the vertex, just substitute , into the
you have and
so, the vertex is at (,)
and the range is:
{ element : }
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