Page 1
Chapter 7.1
1. Plot is given below.
Domain: -∞≤x≤∞ or[-∞ ∞]
3. Plot is given below.
Domain: -∞≤x<0 U0<x≤∞ or [-∞ 0)U(0 ∞]
9.
Plot is given below.
Hence, domain: [-∞ -2)U(-2 0)U(0 1) U (1 ∞]
12.
Plot is given below.
Hence, domain: [-∞ 0)U(0 7)U(7 ∞]
Chapter 7.2
1.
3.
9.
11.
14.
16.
19.
Page 2
Chapter 7.1
17.
20.
24.
29.
31.
33.
37.
61.
Child dose = Adult dose * [Age / (Age + 12)]
= 1000mg * (8 / (8 + 12)
= 1000mg * (8 / 20)
= 1000mg * 0.4
= 400mg
Page 3
Chapter 7.2
20.
23. 26.
48.
Chapter 7.3
30.
We will determine LCD of numerators and denominators separately.
LCD of 9x2 and 6x is 18x2.
LCD of 7x-14 = 7(x-2) and (x-2)2 is 7(x-2)2.
Hence, LCD of given expressions will be
36. and it is LCD.
Page 4
Chapter 8
5. Plot is given below.
8. Plot is given below.
15. Line equation: y = 2x+(3/4)
Line equation in function notation: f(x) = 2x+(3/4)
17. Line equation: y=(2/7)x
Line equation in function notation: f(x) = (2/7)x
26. Line equation: y+6 = (-1/5)(x-4)
Or, y = -x/5 -4/5 +6 = -x/5 -26/5
Hence, line equation in function notation: f(x) = -x/5 -26/5
29. Slope = (y2-y1)/(x2-x1) = (13-5)/(-6+2) =8/-4 = -2
Line equation: y-5 = -2(x+2) = -2x-4
Or, y = -2x-4+5 = -2x+1
Hence, line equation in function notation: f(x) = -2x+1
21. Line equation: y+3 = -2(x-1) = -2x+2
Or, y = -2x-1
Hence, line equation in function notation: f(x) = -2x-1
38. Horizontal line passing through (-3,1): y =1.
Hence, line equation in function notation: f(x) = 1.
40. Zero slope means horizontal line.
Horizontal line passing through (-10, 23): y =23.
Hence, line equation in function notation: f(x) = 23.