Chapter 9 Algebra Worksheet With Answers - Montville Township Public Schools Page 13
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31–0.3
–0.2
–0.1
x
x
–10.56
–12.16
–13.64
The function value that is closest to zero when the sign changes is –0.76. Thus, the second root is approximately –
Study Guide and Review - Chapter 9
0.8. So, the solutions are about –0.8 and 3.
22. NUMBER THEORY Find two numbers that have a sum of 2 and a product of −15.
SOLUTION:
From the given information, write two equations. Let x and y represent the numbers.
x + y = 2
x • y = –15
Solve the first equation for y.
Substitute this value for y into the second equation.
2
− 2x – 15.
Graph the related function f (x) = x
The x-intercepts of the graph appear to be at –3 and 5, so the solutions for x are –3 and 5.
When x = 3, y = 2 – (–3) or 5. When x = 5, y = 2 – 5 or –3. The sum of –3 and 5 is 2 and the product of –3 and 5 is
–15.
Therefore the two numbers are –3 and 5.
2
Describe how the graph of each function is related to the graph of f (x) = x
.
2
23. f (x) = x
+ 8
SOLUTION:
2
The graph of f (x) = x
+ c represents a translation up or down of the parent graph. Since c = 8, the translation is up.
So, the graph is shifted up 8 units from the parent function.
2
24. f (x) = x
− 3
SOLUTION:
eSolutions Manual - Powered by Cognero
Page 13
2
+ c represents a translation up or down of the parent graph. Since c = –3, the translation is
The graph of f (x) = x
down. So, the graph is shifted down 3 units from the parent function.
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education