1.) f(x)= x^4 -76x^3
(a) For what values of x does the slope of the curve = 0?
I got 0 and 57
(b) At what value(s) of x does f have a local maximum or a local minimum?
local min:__________
local max:__________
c) Find the x-coordinates of all inflection points.
i got 0 and 38
(d) State the values of x for which f is decreasing.
_____ < x< _________
(e) State the values of x for which f is concave down
_____ < x< _________
2.) Let (9x) / (x^2-4)
Select all of the following that will be vertical asymptotes on the graph of f.
x= -4
x= -2
x= 0
x= 2
x=4
(a) For what values of x does the slope of the curve = 0?
I got 0 and 57
(b) At what value(s) of x does f have a local maximum or a local minimum?
local min:__________
local max:__________
c) Find the x-coordinates of all inflection points.
i got 0 and 38
(d) State the values of x for which f is decreasing.
_____ < x< _________
(e) State the values of x for which f is concave down
_____ < x< _________
2.) Let (9x) / (x^2-4)
Select all of the following that will be vertical asymptotes on the graph of f.
x= -4
x= -2
x= 0
x= 2
x=4