Homework 2
1. Which of the following is a function?
a)
b)
c)
d)
e) y = x2 – 4x + 5
f) y2 + x2 = 4
Specify the domain of each of the following functions. Use notations such as “x  3” or
“x can be any real number”. Remember that the domain is the set of all numbers that can
be put into the function for the independent variable (usually x) so that the function can
be evaluated.
2) f ( x)  x  1
3) f (t ) 
1
t2
4) g(x) = x2 – 3x –4
5) h( x) 
x
x  16
2
Evaluate each function.
6)
f(x) = |6x| - 3; Find f(-2)
7)
f(t) = 2t + 1; Find f(-1)
8)
h(x) = x2 + 2; Find h(-3x)
9)
h(x) = 4x + 2; Find h(a + 3)
Review
Simplify completely
20
10.
.
28
11.
15 64

24 35
12.
4 7

5 12
Factor
13. 3x2 – 9x
14. x2 – 6x – 27
15. 6x2 + x - 15
Factor the numerator and denominator of each fraction. Leave your answer as a fraction.
16.
x2  4
x 2  3x  18
17.
8 x  10
x 2  16