SOLUTION: For the function f(x)= -x^2-6x-8 (a) Find the line of symmetry (b) State whether there is a minimum or a maximum and find that value (c) Find the range

Question 37494: For the function f(x)= -x^2-6x-8
(a) Find the line of symmetry
(b) State whether there is a minimum or a maximum and find that value
(c) Find the range
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
For the function f(x)= -x^2-6x-8
=-{X^2+2*X*3+3^2}+9-8
=1-(X+3)^2
(a) Find the line of symmetry
X+3=0 IS LINE OF SYMMETRY
(b) State whether there is a minimum or a maximum and find that value
SINCE MINIMUM VALUE OF -(X+3)^ IS 0,WE GET A MAXIMUM FOR F(X) AT THIS POINT IT IS
F(X)=1-0=1
(c) Find the range
F(X) CAN TAKE ANY VALUE FROM MAXIMUM =1 TO MINUS INFINITY
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