Review Quarterly #1 Exam
Chapter 1, 2 and 4.1
1.
Name: ____________________
Write the slope-intercept form of the line passing through the point (-8, 3) and
a) parallel to the line 2x + 3y = 5
b) perpendicular to the line 2x + 3y = 5.
2.
Write the equation of the line passing through the point (5, -7) and
a) parallel to the line y = 9
b) parallel to the line x = 2
3.
Given f (x) = 2x 2 − 3 and g(x) = x + 1 determine:
a)
d)
4.
f (-3)
b)
f (a + 4) − f (4)
a
e)
g (2)
c)
f (t − 2) − f (2)
t
f)
g (8)
f (x + h) − f (x)
h
Determine the domain and range of each function. (Write your answer in interval notation)
a)
f (x) = (x − 2)(x + 7)
b)
f(x) = 64 − x 2
d)
f (x) =
5− x
x2 − 9
e)
f (x) = x 2 + 3
c)
f (x) = x − 5 + 7
5.
Use your graphing calculator to graph the equation and determine the open intervals on which the
function is increasing, decreasing, or constant. Then determine any relative maximums or minimums on
the graph.
a)
6.
8.
9.
10.
b)
y = x −2 +5
c)
y = (x −1)(x + 2)(x + 1)
c)
y = x2 − 3
Determine if the function is even, odd, or neither.
a)
7.
y = x 2 + 2x + 1
y = x3
b)
y = (x − 3) 2
11.
12. Solve for ALL zeros:
a.) f (x) = x 3 + 6x 2 − x − 30
b.) g(x) = x 4 + 2x 3 − 5x 2 − 22x − 24
13.
14.
15.
16.
Determine the nearest positive and negative coterminal angles. When the angle is given in degrees, give
your answer in degrees. When the angle is given in radians, give your answer in radians.
a)
-85º
b)
5π
4
c)
−
π
4
17.
Convert to radians.
a)
18.
135º
b)
-330º
c)
5º
b)
π
5
c)
4 radians
Convert to degrees.
a)
1.65
19.
A circle has radius of 5 cm. Find the length of the arc subtended by a central angle of 50º.
20.
Find the length of the arc of a circle subtended by a central angle of
is 3.9 cm.
5π
radians if the radius of the circle
6
21.
What angle is subtended by an arc length of 12 inches in a circle with radius 2.7 inches? Give your
answer in radians and degrees.
22.
What is the angular velocity of a wheel of radius 7 inches with linear velocity of 20 miles per hour?
SKIP #23
24.
Determine which quadrant each angle terminates in.
a)
-188º
b)
272º
c)
7π
6