Teachoo Quiz

10 Question MCQ (including Assertion)

Chapter 2 Class 11 Relations and Functions | 10 questions | about 8 minutes

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Question 1 of 10
Question 1 of 10
A sensor relation is represented by the graph below.
xysame x-value
Viewed as a relation from \(x\)-values to \(y\)-values, why is it not a function?
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Question 2 of 10
Assertion (A): For every relation from a set \(A\) to a set \(B\), its range is a subset of its codomain.
Reason (R): The domain of a relation is the set of all first components of its ordered pairs.
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Question 3 of 10
Six customers must each receive exactly one coupon type from \(4\) available types. How many different assignment functions are possible?
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Question 4 of 10
Assertion (A): The domain of the rational function \(f(x) = \frac{1}{x - 2}\) is \(\mathbb{R} - \{2\}\).

Reason (R): A rational function of the form \(\frac{p(x)}{q(x)}\) is defined for all real numbers except those where the denominator \(q(x) = 0\).
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Question 5 of 10
A ride-sharing record relates each driver to a pickup point: \[ R=\{(D_1,P_1),(D_1,P_2),(D_2,P_3)\}. \] Is \(R\) a function from \(\{D_1,D_2\}\) to \(\{P_1,P_2,P_3\}\)?
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Question 6 of 10
For the signum function, which statement is correct?
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Question 7 of 10
Let \(A=\{9,10,11,12,13\}\), and define \(f:A\to\mathbb N\) by \(f(n)=\) the highest prime factor of \(n\). The range of \(f\) is
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Question 8 of 10
Assertion (A): The signum function has a range of exactly three elements: \(\{-1, 0, 1\}\).

Reason (R): The graph of the signum function is a single continuous straight line passing through the origin.
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Question 9 of 10
Consider \[ f=\{(ab,a+b):a,b\in\mathbb Z\}. \] Which pair of choices proves that \(f\) is not a function from \(\mathbb Z\) to \(\mathbb Z\)?
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Question 10 of 10
A monitoring system reports the absolute deviation from \(20\) using \[ f(x)=|x-20|,\qquad 16\le x\le25. \] What is the range of \(f\)?
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