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Q11 of 215 Page 3

Mark the correct alternative in each of the following:

The range of the function f(x) = 7–xPx–3 is


Given that f(x) = 7–xPx–3


Here, 7-x ≥ x-3


⇒ 10 ≥ 2x


⇒ 5 ≥ x


So, domain = {3, 4, 5}


Range = {4P0, 3P1, 2P2} = {1, 3, 2}

More from this chapter

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9

Mark the correct alternative in each of the following:

Let M be the set of all 2 × 2 matrices with entries from the set R of real numbers. Then the function f : M → R defined by f(A) = |A| for every A ϵ M, is


10

Mark the correct alternative in each of the following:

The function f : [0, ∞) → R given by f(x) is


12

Mark the correct alternative in each of the following:

A function f from the set on natural numbers to integers defined by


..is


13

Mark the correct alternative in each of the following:

Let f be an injective map with domain {x, y, z} and range {1, 2, 3} such that exactly one of the following statements is correct and the remaining are false.


f(x) = 1, f(y) ≠ 1, f(z) ≠ 2.


The value of f–1(1) is


Questions · 215
2. Functions
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