Given the function f(x)= x√(x+3),
Indicate the domain of f(x): …………………………
What are the x – intercepts of the graph of f(x)? POINTS! …………………………….
Identify the critical points of f(x) (write pairs of coordinates, not just x values)
The critical points are ………………………………………………….
Use the second derivative to determine whether each of the points found in part (c) is a local maximum or minimum
…………………………………………………………………………………………………………………………………
Use the first/second derivatives to describe the behavior of f(x) in the interval (-3,-2)
f(x) is ……………………………………….. (increasing/decreasing) on (-3, -2)
f(x) is concave …………………………. (up/down) on (-3, -2)
my professor never went over how to do this but so far I got the domain of x> or equal to 0/ x intercepts are (0,0) (-3,0)
f'(x) = sqrt(x+3) = x/(xsqrt(x+3))
with crit points of (-2,-2) and (-3,0)
stuck on d and e though
3 answers