Progress Check
Name_________________________
Factor completely.
1)
x 2 + 3x − 70
€
x 2 +18x + 81
€
4)
81x 2 − 25
€
5)
8x 3 + 64
€
3)
2x 3 − 24 x 2 + 54 x
6)
16x 4 −1
9)
12x 3 − 26x 2 −16x
€
x 2 + 2xy + y 2
€
€
7)
€
2)
8)
6x 2 + 49x + 8
€
€
10)
Sketch the graph and identify all asymptotes, x- and y-intercepts, and holes.
a)
2
y=
+4
x −3
b)
€
x 2 + 7x +12
y= 2
x + 5x + 6
11)
Graph two cycles of each function.
1
y = 4 − 3cos x
2
a)
b)
€
€
Solve 3x 2 −12x − 63 = 0 by factoring.
12)
€
Solve x 2 − 4 x − 21 = 0 by completing the square.
13)
€
y = 3 − 5sin( x − π )
Solve 20x 2 −16x + 3 = 0 by quadratic formula.
14)
€
15) Write an equation that represents each graph.
y = ______________________________________
y = _________________________________
y = ______________________________________
16) Find the exact value for each expression.
a) sin
11π
6
d) sin(0)
g) tan
5π
4
b) cos
7π
3
e) tan( 300 o )
h) sin
7π
6
c) cos
7π
4
f ) cos
2π
3
i) cos
3π
2