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Exam (elaborations)

Math 4C UC San Diego – UCSD Fall 2024 Practice Exam for Midterm 2 (Sample Problems with Solutions)

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This document is a graded practice exam for Math 4C at UC San Diego, designed to help students prepare for Midterm 2. It includes multiple-choice and short-answer questions on topics such as functions and inverses, logarithmic and exponential equations, complex numbers, polynomial division, and analyzing parabolas. Each question is scored, showing correct and incorrect responses, making it a useful resource for self-assessment and review before the actual exam.

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Q1
1 Point

If f (a)> f (b), then what is the sign of the average rate of change of f on the
interval [a, b]?

positive
zero
negative
the sign is unable to be determined without more information

, 2 Points

The graph of y = g(x) is given below. Find the domain and range of g −1 .




Q2.1
1 Point

The domain of g −1 is

[−1, 3]
[1, 2]
[−1, 3)
[0, 2)

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August 20, 2025
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6
Written in
2024/2025
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