SOLUTION: A function whose tangent has slope 2x-3 for each value of x passes through the point(0,4).What is the minimum height of the graph
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Question 727922: A function whose tangent has slope 2x-3 for each value of x passes through the point(0,4).What is the minimum height of the graph
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
That tangent's slope is zero when
--> -->
For the tangent's slope is negative because
and for the tangent's slope is positive because .
That means that the function decreases for ,
reaches its minimum value (minimum height of the graph) at
and increases for .
There are infinite quadratic functions whose tangent's slope is , but knowing that the graph passes through (0,4) we know that for {{y=k=4}}} so the function is
However, I do not know how you would know to start with
because I never had to teach beginning calculus.
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