Mid-Term B Review Problems Answer Key

Honors Algebra 2B Mid-Term Review Problems
Name:
1. Which of these does NOT have the same value as the others?
C. 1og464
O g39
A. log28
D. 1og5125
2. Which function represents exponential growth?
B. y = -2.5x13
A. y = 2.5)(1.3
y = 2.5 (1.3)x
D. y = 2.5 (0.3)x
Sketch each graph. Label 3 points and the asymptote. Also name the domain & range.
1V
4. g(x) = — —1
3.
f (x) = log3 x
domain: (0 )
3
c.0)
domain:
cx) )
range:
range:
1
A
•••••••1
(i)
1
1
5. h(x) = — — .2'
2
domain:
•••••
(
6. g(x) = log3 (x —3) + 2 ,
domain:
0.)
range:
range:
(—
t
A
6 2)
-A
7Co/ -
z)
A
3
coy.
•
Factor Completely
7.
27x3 -64
8.
375+24y3
9. An angle drawn in standard position has a terminal side that passes through the point
r
2
, —
1 \ . What is
2)
the measure of the angle [37r,57r) ?
10. An angle of -585° is in standard position. What are the coordinates of the point at which the terminal side
intersects the unit circle?
11.
12.
What is the exact value of sec
3
Describe the translations from the parent function y = cos 0 to the new function: y = 3 cos (48 —2)+5
For problems #13-15, Graph [0,27d :
7r
13. y=-3sin 0-- +1
3
14. f (x) = tan(38)
15. f (x) = csc (20)-1
16.
Evaluate 5log9
17.
Use the equation of the exponential function whose graph passes through the points (2, 2) and (4, 50)
to find the value of y when x = -2.
18.
Use logs 2 0.4317 and log, 3 0.6846 to evaluate the value of log . 2
19.
Suppose you deposit $31000 in an account paying 3.7% annual interest compounded continuously.
How much do you have after 7 years, presuming no additional deposits or withdrawals.
20.
Solve ln(x + 2) = 3
3
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13.
y = —3 sin —
3
--1
14. f (x) = tan (30)
15. f (x) = csc (20) —1
+1
45;