Let A - a - b - c - d and B -1-2-3 andf - a - 3- b - 3- c - 3- d - 3- Identify the type of function-A- Identity functionB- Constant functionC- One-to-one functionD- Both a and b

The correct option is B Constant functionGiven: f = (a, 3),(b, 3),(c, 3),(d, 3) nbsp; Since, f (x) = 3 for every x ∈ A ⇒ Range of f =3 Thus, f is a constant ...

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Standard XII

Mathematics

Continuity in an Interval

Let A = a , b...

Question

Let A = {a,b,c,d} and B = {1,2, 3} and
f = {(a, 3),(b, 3),(c, 3),(d, 3)}. Identify the type of function.

Identity function

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Constant function

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One-to-one function

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Both a and b

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Solution

The correct option is B Constant function
Given:
f = {(a, 3),(b, 3),(c, 3),(d, 3)}
Since, f (x) = 3 for every x $\in$ A
$\Rightarrow$ Range of f ={3}
Thus, f is a constant function.

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Let A = {a,b,c,d} and B = {1,2, 3} and f = {(a, 3),(b, 3),(c, 3),(d, 3)}. Identify the type of function.

The correct option is B Constant functionGiven: f = {(a, 3),(b, 3),(c, 3),(d, 3)} Since, f (x) = 3 for every x ∈ A ⇒ Range of f ={3} Thus, f is a constant function.

Let A = {a,b,c,d} and B = {1,2, 3} and
f = {(a, 3),(b, 3),(c, 3),(d, 3)}. Identify the type of function.

The correct option is B Constant function
Given:
f = {(a, 3),(b, 3),(c, 3),(d, 3)}
Since, f (x) = 3 for every x $\in$ A
$\Rightarrow$ Range of f ={3}
Thus, f is a constant function.