25 ptsthe graph of the piecewise function is shown. what is the range of f(x)? { f(x)| –∞ < f(x) < ∞}{ f(x)| –∞ < f(x) ≤ 4}{ f(x)| 4 < f(x) < ∞}{ f(x)| 0 ≤ f(x) < ∞}

The range of the function f(x) is:

                           { f(x) | –∞ < f(x) ≤ 4}

By looking at the graph of the function f(x) we see that in the interval :

           (-∞,0]

The function f(x) takes a constant value as:  f(x)=4

and after that i.e. for x≥0 , the function f(x) is decreasing continuously.

Hence, we could say that the function f(x) takes all the real values which are less than and equal to 4.

          Hence, the range of the function is:

              { f(x)| –∞ < f(x) ≤ 4}