October 06, 2015
Finding Limits Graphically
1. For the function G graphed in the accompanying figure, find
lim
a. x→0- G(x)
c.
lim G(x)
x→0
b. lim + G(x)
x→0
d. G(0)
2. For the function f graphed in the accompanying figure, find
a.
lim
f(x)
x→3-
b. lim + f(x)
x→3
c.
lim f(x)
x→3
d. f(3)
3. For the function f graphed in the accompanying figure, find
a.
lim
f(x)
x→3-
b. lim + f(x)
x→3
c.
lim f(x)
x→3
d. f(3)
4. For the function f graphed in the accompanying figure, find
a.
lim
f(x)
x→2-
b. lim + f(x)
x→2
c.
lim f(x)
x→2
d. f(2)
October 06, 2015
5. For the function g graphed in the accompanying figure, find
a.
lim
g(x)
x→1-
b. lim + g(x)
x→1
c.
lim
g(x)
x→1
d. g(1)
6. On the axes provided below, sketch a possible graph for a
function f with the specified properties:
i. the domain is [-1,1]
ii. f(-1) = f(0) = f(1) = 0
lim
lim
lim
iii. x→-1
f(x) = x→1
+ f(x) =
- f(x) = 1
x→0
7. On the axes provided below, sketch a possible graph for a
function f with the specified properties:
i. the domain is [-∞,1]
ii. f(-2) = f(1) = 1
lim
iii. x→-2
f(x) = +∞
8. On the axes provided below, sketch a possible graph for a
function f with the specified properties:
i. the domain is [-2,1]
ii. f(-2) = f(0) = f(1) = 0
iii.
lim f(x)
x→-2lim f(x)
x→1-
lim
= 2, x→0
f(x) = 0,
=1