If y = f (x): A $\to$ B, then which of the following is true if f(x) is function in x.

(i) x must be able to take each and every value of A

(ii) one value of x must be related to one and only one value of y in set B.

Only (i)

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Only (ii)

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Both (i) and (ii)

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None of these

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Solution

The correct option is C
Both (i) and (ii)

Both (i) and (ii) are part of the definition of function.( (i) and (ii) together forms the definition of function)

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If y = f : A $\to$ B, then which of the following is true if f(x) is a function in x.

(i) x must be able to take each and every value of A

(ii) one value of x must be related to one and only one value of y in set B.

If y = f : A $\to$ B, then which of the following is true if f(x) is a function in x?

(i) x must be able to take each and every value of A.

(ii) one value of x must be related to one and only one value of y in set B.

If $y = f (x),$ where $f : A \to B$ is a function in $x,$ then which of the following statements is true?

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Q. Let

f : [1, \infty) \to R

be a function defined by

f (x) = x x \int 1 \frac{e^{t}}{t} d t - e^{x}

f (x)

is an increasing function.
II.

lim x \to \infty f (x) = 0

Which of the following statements are correct?

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If y = f (x): A → B, then which of the following is true if f(x) is function in x. (i) x must be able to take each and every value of A (ii) one value of x must be related to one and only one value of y in set B.

The correct option is C Both (i) and (ii) Both (i) and (ii) are part of the definition of function.( (i) and (ii) together forms the definition of function)

If y = f (x): A $\to$ B, then which of the following is true if f(x) is function in x.

(i) x must be able to take each and every value of A

(ii) one value of x must be related to one and only one value of y in set B.

The correct option is C
Both (i) and (ii)

Both (i) and (ii) are part of the definition of function.( (i) and (ii) together forms the definition of function)