Homework Help: math

Posted by mz tee on Thursday, November 10, 2011 at 1:12am.

. Given the following function, f(x)=-x^2 -8x find:
(a) vertex, (b) axis of symmetry, (c) intercepts, (d) domain, (e) range,
(f) intervals where the function is increasing,
(g) intervals where the function is decreasing, and
(h) the graph of the function. Please show all of your work.
(Points : 15)

math - Steve, Thursday, November 10, 2011 at 5:26am
vertex: x = -b/2a = 8/-2 = -4, so y=-48: (-4,16)

axis: x = -4
x-intercepts: 0,-8
y-intercepts: 0
domain: all real x
range: all real y <= 16

y increasing where y' > 0
y' = -2x-8
y'>0 when x < -4
y decreasing for x > -4

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