SOLUTION: Find the minimum or maximum value of the given function. Then state the domain and range of the function in words, not mathematical symbols. f(x) = -2x² + 7x – 3 g(x) = 6x – x²

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the minimum or maximum value of the given function. Then state the domain and range of the function in words, not mathematical symbols. f(x) = -2x² + 7x – 3 g(x) = 6x – x²       Log On


   

Question 885031: Find the minimum or maximum value of the given function. Then state the domain and range of the function in words, not mathematical symbols.
f(x) = -2x² + 7x – 3
g(x) = 6x – x²
h(x) = x² - 4x + 3
f(x) = -(1/2)x² - 4
g(x) = -x² - 6x + 1
h(x) = x² + 8x + 16
Answer by solver91311(24713) About Me  (Show Source):
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The lead coefficient is negative, hence the parabola opens downward and the vertex is a maximum.

The maximum value of the function is the value of the function at the x-coordinate of the vertex.



The value of the function at this point is:



The domain of any polynomial function is the entire real line. The range is (,] for parabolas that open downward.

John

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