Show that the function f has an inverse by showing that it is strictly monotonic.f(x) = -x2 - 4x + 8, x ? 0
What will be an ideal response?
f'(x) = -2x - 4 < 0 for all x ? 0. Thus, f is monotonic decreasing on [0, ?) and so it has an inverse there.
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Express the number in terms of i.4 - 
A. 4 - 7i
B. 4 + i
C. 4 - i
D. -3i
The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.s = 6t2 + 3t + 7, 0 ? t ? 2Find the body's displacement and average velocity for the given time interval.
A. 30 m, 15 m/sec B. 30 m, 30 m/sec C. 44 m, 22 m/sec D. 18 m, 27 m/sec
Use the fundamental identities and the given information to find the exact values of the remaining trigonometric functions of x.sin x = 
and cos x = 
A. tan x = - 
, csc x = 
, sec x = 
, cot x = - 2
B. tan x = 
, csc x = 
, sec x = 
, cot x = 2
C. tan x = 
, csc x = 
, sec x = 
, cot x = 2
D. tan x = 2, csc x = 
, sec x = 
, cot x = 
Find the indicated probability.Each digit from the number 4,787,117 is written on a different card. If one of these cards is selected at random, what is the probability of drawing a card that shows 4 or 1?
A. 1
B. 
C. 
D. 