Math 16A
Short Calculus, section 2
Practice Midterm #1 Solutions
1.
True/False
Mark each question as (
T
)rue or (
F
)alse.
a.
T
The line (
y

3) = 2(
x
+ 4) is in pointslope form.
b.
F
If
f
(
x
) =
1
x
and
g
(
x
) =
1
x
2
, then
f
◦
g
(
x
) =
1
x
3
.
c.
T
If
p
(
x
) is a polynomial function and
c
is any real number,
then lim
x
→
c
p
(
x
) =
p
(
c
).
d.
F
Two lines are parallel if and only if their slopes are negative
reciprocals of each other.
e.
F
For any real number
c
, if
f
(
c
) is defined then
f
is contin
uous at
c
.
f.
T
A function never intersects its vertical asymptotes.
g.
F
The function
x

7
x

7
has a vertical asymptote.
h.
T
The general form of a circle is
Ax
2
+
Ay
2
+
Dx
+
Ey
+
F
=
0.
i.
T
The graph of
y
= 2
x
2
+ 2 passes through Quadrant II.
j.
F
If an equation passes the horizontal line test, then the
equation defines a function.
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2.
Lines and Circles
(a) Consider the points (2
,

3) and (

2
,
3).
i. What is the distance between the points?
Distance
=
p
(2

(

2))
2
+ (

3

3))
2
=
√
4
2
+ 6
2
=
√
52 = 2
√
13
.
ii. What is their midpoint?
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 Fall '08
 Sabalka
 Calculus, Slope, lim, Mathematical analysis, Limit of a function

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