Luttrell 2012
133
Name: ______________________
Date: _____
2 Functions and Relations
1. Solve: x
3
= 16x, domain
∈
{x | x > 0}
2. Show the algebra to expressing
5.1121212... as a ratio of integers.
3. Determine if the following is a polynomial. If it is, give its name by both degree and term.
A. x
2
yz
5
- 9x
2
y
3
z
B. 4xy
3
- 7xy
7
+ 5x
2
y
5
C. 3x
2
y
-3
- (2xy
2
)
3
4. Graph: y = -x
2
- 4x.
5. Graph
f x
x
x
x
x
( )
,
,
=
≤
−
>
2
4
3
4
What is the range?
What is the range? What is f(4)? f(0)?
6. Explain or show the different ways you can determine if 3x
2
- 3y
2
- 6x + 5 = 0 is a function.
Is it a function?
7. Name the axiom(s):
a. 12(4×3) = (12×4)(3) ______________
b. 3+(-3) = 3 - 3 = 0 ______________ ____________
c. 2(½) = 1
______________
d. 3×4×2 = 2×3×4
______________
8. Fill in the justifications for each step of the proof:
Multiplication Property of Zero
Step
Justification
0 = 0
0 + 0 = 0
x(0+0) = x(0)
x(0+0) = 0 + x(0)
x(0)+x(0) = 0 + x(0)
x(0) = 0
