Practice Problems - Test 3 | Exam Review | Precalculus | Solutions

These are the solutions to PROBLEMS 1 - 6. The solutions to rest of the problems are posted in part 2 video.
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0:00:00 Intro
0:00:29 Problem 1
0:42:05 Problem 2
1:28:22 Problem 3
1:42:02 Problem 4
1:54:10 Problem 5
2:13:42 Problem 6

Solutions to problems 6*, 7 and 8
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Problem 6* (Graphs)
Problem 7:
a) [-3, 1]
b) (1, ∞)
c) (−3, −1)∪[1, ∞)
d) (−∞, −5/2]∪(−1, ∞)
e) (-5, -1/2)∪(3, 5)
f) (−∞, -3)∪[-2, -1)∪[1, ∞)

Problem 8:
a) 246, −8x³+4x−3, 15, ℝ
b) √2, 1−4√(x−3), Not defined, (−∞, −1/2] and [3, ∞)
c) -8/5, (2x-6)/(5x-11), -52/51, {t|t≠−5, t≠−13/3} and {t|t≠3, t≠11/5}
d) 1, (1-√x)/(√x+3), 0, (-3, 1] and [0, ∞)

Related lectures
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[MathTutor]

0:00:00 Intro
0:00:29 Problem 1
0:42:05 Problem 2
1:28:22 Problem 3
1:42:02 Problem 4
1:54:10 Problem 5
2:13:42 Problem 6
2:27:20 Problem 6*
2:27:31 Problem 7
2:27:41 Problem 8

Solutions to problems 6*, 7 and 8

Problem 6* (Graphs)
Problem 7:
a) [-3, 1]
b) (1, ∞)
c) (−3, −1)∪[1, ∞)
d) (−∞, −5/2]∪(−1, ∞)
e) (-5, -1/2)∪(3, 5)
f) (−∞, -3)∪[-2, -1)∪[1, ∞)

Problem 8:
a) 246, −8x³+4x−3, 15, ℝ
b) √2, 1−4√(x−3), Not defined, (−∞, −1/2] and [3, ∞)
c) -8/5, (2x-6)/(5x-11), -52/51, {t|t≠−5, t≠−13/3} and {t|t≠3, t≠11/5}
d) 1, (1-√x)/(√x+3), 0, (-3, 1] and [0, ∞)

[MathTutor]

Solutions to Problems 6*-8 are below: