find range of f(x)=x,x is a real number
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The range of f(x) is (-∞, ∞).
Given:
f(x)=x, x is a real number .
To Find:
The range of f(x).
Solution:
For any function f(x), the domain of the function refers to the values that x can take and the range of the function refers to the values one can obtain for different values of x.
The given function is y = f(x) = x.
We can observe that since the given function is defined everywhere (there is no point of discontinuity), x can take any value from the real line.
⇒ The domain of f(x) = (-∞, ∞)
Also for every value of x, the function produces the same value of y.
Hence, the output of the given function can lie anywhere on the real line.
⇒ The range of f(x) = (-∞, ∞).
∴ The range of f(x) is (-∞, ∞).
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