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كويز تفاعلي: Inverse Relations and Functions

Explore the mathematical concept of inverse relations and functions. Learn how to verify if two relations are inverses by checking if their ordered pairs are swapped, analyzing tables of values, and reflecting graphs across the line y=x. This set of practice problems also covers determining the domain and range of inverse functions and the procedural steps to find an inverse algebraically.
رقم الاختبار 831
الصف الصف العاشر المتقدم
المادة رياضيات
الفصل الفصل الثالث
السنة الدراسية 2025/2026
عدد الأسئلة 15
إجمالي النقاط 15
تاريخ الإضافة 2026-04-21
الزيارات 168
الناشر Amal Salman
يرجى الانتباه إلى أن المعلم قام بإعداد الأسئلة فقط، ولم يقم بإعداد الإجابات أو الشروحات المرفقة. وقد تم توليد الإجابات باستخدام تقنيات الذكاء الاصطناعي، لذلك قد تتضمن بعض الأخطاء أو عدم الدقة.
للحصول على الإجابات الصحيحة والمضمونة، يُرجى الرجوع إلى المعلم أو المصدر الدراسي المعتمد.
Question 1
Points: 1
f(x): {(3, 4), (2, -7), (5, 0), (-3, -2)}
g(x): {(4, 3), (-7, 2), (0, 5), (2, 3)}
Are the relations inverses?
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Question 2
Points: 1
f(x): {(1, 2), (4, 8), (-3, 0), (-4, -2)}
g(x): {(2, 1), (8, 4), (0, -3), (-2, -4)}
Are the relations inverses?
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Question 3
Points: 1
Given the tables for f(x) and g(x):
f(x) points: (1, 0), (3, -3), (5, 7), (-9, -2)
g(x) points: (0, 1), (-3, -3), (7, 5), (-2, -9)
Are the relations inverses?
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Question 4
Points: 1
Are the graphs inverses?
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Question 5
Points: 1
Are the graphs inverses?
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Question 8
Points: 1
Given the set {(3, 2), (-4, 1), (0, -8), (5, -2)}, which of the following points is part of the inverse?
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Question 9
Points: 1
Given the set {(3, 4), (-2, 1), (-6, -7), (-3, -2), (0, -1)}, what is the DOMAIN of the INVERSE function?
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Question 10
Points: 1
Given the function represented by these points: (4, -4), (3, 7), (1, 0), (-5, -2). What is the RANGE of the INVERSE function?
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Question 11
Points: 1
TRUE OR FALSE: If the DOMAIN of a function is (-∞, 2], then the DOMAIN of the INVERSE function will also be (-∞, 2].
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Question 12
Points: 1
TRUE OR FALSE: If the RANGE of a function is (4, 2], then the DOMAIN of the INVERSE function will also be (4, 2].
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Question 13
Points: 1
Here is the domain and range for a function:
D: (-∞, ∞)
R: [3, ∞)
What is the domain and range of the inverse?
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Question 14
Points: 1
What is the inverse quadratic function?
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Question 15
Points: 1
How do you find an inverse?
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