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 → − 3 − , f x → _ _ _ _ _ . c . As x → − 3 + , 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 → − 3 − , f x → _ _ _ _ _ . c . As x → − 3 + , 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 blanks in the statement with the help of the following graph.
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
→
−
3
−
,
f
x
→
_
_
_
_
_
.
c
. As
x
→
−
3
+
,
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
_
_
_
_
_
.
Find a plane containing the point (3, -3, 1) and the line of intersection of the planes 2x + 3y - 3z = 14
and -3x - y + z = −21.
The equation of the plane is:
Determine whether the lines
L₁ : F(t) = (−2, 3, −1)t + (0,2,-3) and
L2 : ƒ(s) = (2, −3, 1)s + (−10, 17, -8)
intersect. If they do, find the point of intersection.
● They intersect at the point
They are skew lines
They are parallel or equal
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