Homework 15
Remember: Factor, cancel and only after that should you multiply straight across.
Division problems should first be rewritten as a multiplication problem by the reciprocal
of the divisor.
1. Simplify completely:
4x 2 3

3 6
10 x 2 9
2. Simplify completely:

18 5 x
3. Simplify completely:
43m  5 5m6m  7 

3m  5
46m  7 
4. Simplify completely:
30n  30
4

5
20n  20
5. Simplify completely:
10 x
1

2
15 x  35 x 6 x  14
6. Simplify completely:
x  3  10 x  30
7. Simplify completely:
32 x  24 8 x  6

9 x  63
18
10
8. Graph the function f ( x) 
1
and answer the related questions.
x3
What is f(-3)?
x
f(x)
What is f(-2.9)?
What is f(-3.1)?
What is f(-2)?
What is f(-4)?
What is the domain?
What is the range?
9. Graph the function f ( x) 
1
and answer the related questions.
x2
x
f(x)
What is the domain?
What is the range?
10. Use a table of values to make a precise graph of the functions:
a. f(x) = (1/2)x
b. g(x) = (1/3)x
c. h(x) = (1/4)x
d. Look for patterns in the lines,
then estimate where the line k(x) = (1/5)x
should be drawn.