Evaluating limits graphically Sketch a graph of f and use it to make a conjecture about the values of f ( a ) , lim x → a − f ( x ) , lim x → a + f ( x ) and lim x → a f ( x ) or state that they do not exist. 22. f ( x ) = | x + 2 | + 2 ; a = − 2
Evaluating limits graphically Sketch a graph of f and use it to make a conjecture about the values of f ( a ) , lim x → a − f ( x ) , lim x → a + f ( x ) and lim x → a f ( x ) or state that they do not exist. 22. f ( x ) = | x + 2 | + 2 ; a = − 2
Evaluating limits graphically Sketch a graph of f and use it to make a conjecture about the values of
f
(
a
)
,
lim
x
→
a
−
f
(
x
)
,
lim
x
→
a
+
f
(
x
)
and
lim
x
→
a
f
(
x
)
or state that they do not exist.
and radical)
What I Know
Multiple Choice.
Directions: Encircle the letter of the correct answer.
1. Which mathematical expression corresponds to the statement "the limits of the
function x2 + 2 as x approaches to 3 is equal to 11"?
C. lim (x2 + 2) = 11
x →3
А.
lim (x2 + 2) = 11
D. lim (x² – 2) = 11
x -3
X--3
В.
lim (x2-2) = -11
x--3
2. Which function becomes undefined?
f(x) = 0
C. f(x) = L
D. f(x) = ; b= 0
А.
В.
X = c
3. What is the value of
m(x² - 3x +4)?
А.
С. 2
В.
D. 1
4. Which of the following denotes the definition of limit of a function?
А.
lim f(x) = L
C. x approaches c as L
В.
f(x) approaches L
D. lim f (x) = x
5. Graphing the limit of the f(x) =
1
%3D
as x approaches to zero, which statement is
correct?
A. The limit of the function is equal to zero.
B. The limit of the function does not exist.
Does this function exist, based on the graph? Im unsure if it does exist.
College Algebra with Modeling & Visualization (5th Edition)
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