Download Math 1100 Homework 1 22 August, 2011 Name:

Math 1100
Homework 1
Name:
1. Let f =
x2 −x−6
.
x+2
(a) f (−3)
(b) f (−2.5)
(c) f (−2.1)
(d) f (−2)
Find the following, if they exist:
22 August, 2011
2. Factor the following expressions:
(a) x2 − x − 6
(b) x2 − 4
(c) x2 + 3x + 2
3. Write the following expressions using exponents
√
(a) t
(b)
1
x
(c)
1
√
3 2
x +1
4. Simplify
(a)
4(x+h)2 −4x2
h
(b) (2x3 + 3x + 1)(2x) + (x2 + 4)(6x2 + 3)
(c)
x(3x2 )−x3 (1)
x2
(d)
x2 −x−6
x+2
(e)
x2 −4
x−2
5. If f (x) = 3x2 + 2x find
f (x+h)−f (x)
h
6. Find the slope of the line passing through (1, 2) and (2, 4)
7. Write the equation of the line passing through (1, 5) with slope 8.
2
8. Write 13 (x2 − 1)− 3 (2x) with positive exponents.
9. For what values are the following functions undefined?
(a) f (x) =
√2
3 3 x+2
2
(b) g(x) = 13 (x2 − 1)− 3 (2x)
10. Solve x2 − 2x − 3 = 0
11. Solve for x and y
(a)
0 = 50 − 2x − 2y
0 = 60 − 2x − 4y
(b)
x = 2y
x+y−9 = 0