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10 Nov 2019
1. the folowing information has been gathered about the rationalfunction f(x)
domain: all reals except -1
discontinuous at -1 only
f(-5)=3, f(-3)=4, f(1)=0,f(3)=1
f has vertical asymptotes x = -1
f has a horizontal asymptote of y = 2
f'(-3) = f'(1) = 0
f'(x) >0 on (-infinity,-3) u (1, +infinity)
f'(x)<0 on (-3,-1) u (-1,1)
f''(-5) = f''(-3) = 0
f''(x) >0 on (-infinity,-5) u (-1, 3)
f''(x)<0 on (-5,-1) u (3,+infinity)
a) indicate intervals on which f is increasing anddecreasing
b) indicate intervals ov which f is concave up and down
c) graph f on the above axes.
1. the folowing information has been gathered about the rationalfunction f(x)
domain: all reals except -1
discontinuous at -1 only
f(-5)=3, f(-3)=4, f(1)=0,f(3)=1
f has vertical asymptotes x = -1
f has a horizontal asymptote of y = 2
f'(-3) = f'(1) = 0
f'(x) >0 on (-infinity,-3) u (1, +infinity)
f'(x)<0 on (-3,-1) u (-1,1)
f''(-5) = f''(-3) = 0
f''(x) >0 on (-infinity,-5) u (-1, 3)
f''(x)<0 on (-5,-1) u (3,+infinity)
a) indicate intervals on which f is increasing anddecreasing
b) indicate intervals ov which f is concave up and down
c) graph f on the above axes.
Elin HesselLv2
11 Jun 2019
