WB JEE 2009 | Functions Question 5 | Mathematics

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

A mapping from IN to IN is defined as follows:

$$f:IN \to IN$$

$$f(n) = {(n + 5)^2},\,n \in IN$$

(IN is the set of natural numbers). Then

f is not one-to-one

f is onto

f is both one-to-one and onto

f is one-to-one but not onto

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The domain of definition of the function $$f(x) = \sqrt {1 + {{\log }_e}(1 - x)} $$ is

$$ - \infty < x \le 0$$

$$ - \infty < x \le {{e - 1} \over e}$$

$$ - \infty < x \le 1$$

$$x \ge 1 - e$$

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The domain of the function $$f(x) = \sqrt {{{\cos }^{ - 1}}\left( {{{1 - |x|} \over 2}} \right)} $$ is

($$-$$3, 3)

[$$-$$3, 3]

($$-$$ $$\infty$$, $$-$$3) $$\cup$$ (3, $$\infty$$)

($$-$$ $$\infty$$, $$-$$3] $$\cup$$ [3, $$\infty$$)

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

For what values of x, the function $$f(x) = {x^4} - 4{x^3} + 4{x^2} + 40$$ is monotone decreasing?

0 < x < 1

1 < x < 2

2 < x < 3

4 < x < 5

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