SOLUTION: Determine the maximum possible number of turning points for the graph of the function.
f(x) = - x^2 - 12x + 35
Algebra.Com
Question 1086956: Determine the maximum possible number of turning points for the graph of the function.
f(x) = - x^2 - 12x + 35
Found 2 solutions by math_helper, ikleyn:
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
The maximum number of turning points for a polynomial of degree n is n-1.
In this problem n=2, so the graph of the function will have at most turning point.
Answer by ikleyn(52908) (Show Source): You can put this solution on YOUR website!
.
This polynomial (this quadratic function) has one and only one turning point.
It is the maximum possible number of turning points for a quadratic function, and exact number of turning points AT THE SAME TIME,
in this case (in the case of quadratic function/polynomial).
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