For Exercises 13-16, refer to the graph of the function and complete the statement. (See Example 1) a . As x → − ∞ , f x → _ _ _ _ _ . b . As x → 4 − , f x → _ _ _ _ _ . c . As x → 4 + , f x → _ _ _ _ _ . d . As x → ∞ , f x → _ _ _ _ _ . e . The graph is increasing over the interval s _ _ _ _ _ . f . The graph is decreasing over the interval s _ _ _ _ _ . g . The domain is _ _ _ _ _ . h . The range is _ _ _ _ _ . i . The vaertical asymptote is the line _ _ _ _ _ . j . The horizontal asymptote is the line _ _ _ _ _ .
For Exercises 13-16, refer to the graph of the function and complete the statement. (See Example 1) a . As x → − ∞ , f x → _ _ _ _ _ . b . As x → 4 − , f x → _ _ _ _ _ . c . As x → 4 + , f x → _ _ _ _ _ . d . As x → ∞ , f x → _ _ _ _ _ . e . The graph is increasing over the interval s _ _ _ _ _ . f . The graph is decreasing over the interval s _ _ _ _ _ . g . The domain is _ _ _ _ _ . h . The range is _ _ _ _ _ . i . The vaertical asymptote is the line _ _ _ _ _ . j . The horizontal asymptote is the line _ _ _ _ _ .
Solution Summary: The author explains how to fill the blank in the statement "As xto -infty, f(x
For Exercises 13-16, refer to the graph of the function and complete the statement. (See Example 1)
a
. As
x
→
−
∞
,
f
x
→
_
_
_
_
_
.
b
. As
x
→
4
−
,
f
x
→
_
_
_
_
_
.
c
. As
x
→
4
+
,
f
x
→
_
_
_
_
_
.
d
. As
x
→
∞
,
f
x
→
_
_
_
_
_
.
e
. The graph is increasing over the interval
s
_
_
_
_
_
.
f
. The graph is decreasing over the interval
s
_
_
_
_
_
.
g
. The domain is
_
_
_
_
_
.
h
. The range is
_
_
_
_
_
.
i
. The vaertical asymptote is the line
_
_
_
_
_
.
j
. The horizontal asymptote is the line
_
_
_
_
_
.
Question 2.
i. Suppose that the random variable X takes two possible values 1 and -1, and P(X = 1) =
P(X-1)=1/2. Let Y=-X. Are X and Y the same random variable? Do X and Y
have the same distribution? Explain your answer.
ii. Suppose that the random variable X~N(0, 1), let Y=-X. Are X and Y the same random
variable? Do X and Y have the same distribution? Explain your answer.
Problem 4. Let
f(x, y) =
{
Find P(X <1/2|Y = 1/2).
c(x + y²) 0
Qize
f(x)
x + 2x2 - 2
x² + 4x² - 4
Solve the equation using Newton
Raphson
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