Answer:
The range of the function f(x) is:
{ f(x) | –∞ < f(x) ≤ 4}
Step-by-step explanation:
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}
