l'lOIElIlOl'l. II [[18 111111]: (1085 I10]: EXISI, Sy Wy not. 2. a. Write the precise mathematical definition of continuity. b. Explain in your own
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# I was pretty much thrown into a calc class without taking pre calc and I'm just so stuck on problems 2 and 3 and

pretty much what the conditions are as well as what continuities are.

l'lOIElIlOl'l. II [[18 111111]: (1085 I10]: EXISI, Sﬂy Wﬂy
not. 2. a. Write the precise mathematical
definition of continuity. b. Explain in your own words what it
means for a function to be continuous at a
point. What will be some characteristics of
the graph of the function? c. Suppose the function MX) is
defined as follows:
x2 - ax if x&lt; 2
h(X) = 3 if x= 2
m3 + 2x if x&gt; 2 0 Use the definition of continuity to find values of a and b that make h(X)
continuous at X = 2. 0 Show each step of the definition of
continuity, including both left and right
limits. 0 Clearly explain how you arrived at your
answer and obtain a printout of the
continuous everywhere? How do you
know?

continuous at x = 2.
.
Show each step of the definition of
continuity, including both left and right
limits.
. Clearly explain how you arrived at your
answer and obtain a printout of the
d.
continuous everywhere? How do you
know?
3.
Sketch a graph of one possible function
f(X) for which all of the following conditions
are true. Write down what each condition tells
you about the graph of f(x)
lim f( x) = 00
a.
X- 3
lim f ( x) = -00
b.
X- 3+
C.
f(0) = 1
d.
f(3) = 4
lim f( x) = -0o
e.
X- -0o
lim f( x) =1
f.
X_ 00

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