1.

Find the range of the function f(x) = |x - 3|.

Answer»

Given: f(x) = |x-3|

To find: the range of function

Explanation: So, the range of a function consists of all the second elements of all the ordered pairs, i.e., f(x), so we have to find the values of f(x) to get the required range

Given,

f(x) = |x-3|

We know |x| are defined for all real values.

And |x-3| will always be greater than or equal to 0.

i.e., f(x)≥0

Hence the range of f = [0, ∞)



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