Question

What is the range of the function *f* (*x*) = | *x* | + 2

Step 1

*Given:*

The function is f(x) = |x| + 2

Step 2

*Calculation:*

In general, the range of the function is defined as the set of all dependent values for which the funtion is defined.

That is, the range is the set of all values of *f(x),* where the function is defined.

Step 3

Compute the range of the given function as follows.

The given function is observed to be an abosulte function.

In general, the range of the absolute function is defined for all values of y which are greater than or equal to *k*.

That is, if a function is in the f...

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