Question 622054: Determine where the function is increasing and where it is decreasing.
f(x)=-x^2-4x+5
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Determine where the function is increasing and where it is decreasing.
f(x)=-x^2-4x+5
.
Because it is a polynomial of degree 2, we know it is a parabola.
And, because the coefficient associated with the x^2 term is negative, we know it opens downwards. So, the max will be at the vertex.
.
Axis of symmetry:
x = -b/(2a)
x = -(-4)/(2(-1))
x = 4/(-2)
x = -2
.
function is increasing in the range of:
(-oo, -2)
function is decreasing in the range of:
(-2, +oo)
where oo indicates infinity
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