SOLUTION: The question is: The quadratic function f is defined by f(x) = {{{4x^2 +5x +2}}} a) Find the set of values of k for which the equation {{{f(x) = kx + 1}}} has real roots.

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Question 552483: The question is:
The quadratic function f is defined by f(x) =
a) Find the set of values of k for which the equation has real roots.
b) Find the coordinates of the turning point of , stating whether it is a maximum or a minimum point.
c) Hence, state the maximum value of
Thank you.
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
The quadratic function f is defined by f(x) =
a) Find the set of values of k for which the equation has real roots.
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kx + 1 has real roots for all x ?? How is this related to the quadratic?
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b) Find the coordinates of the turning point of , stating whether it is a maximum or a minimum point.
The coefficient of the x^2 is >0 --> minimum
The Line of Symmetry is x = -b/2a = -5/8
The min is at (-5/8,f(-5/8))
= (-5/8,-7/16)
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c) Hence, state the maximum value of
For 1/(4x^2 +5x +2)
Max = 2 2/7
Not sure that's what you meant to ask