Question

25 PTS

The graph of the piecewise function is shown.



What is the range of f(x)?


–∞ < f(x) < ∞

–∞ < f(x) ≤ 4

f(x)

f(x)

Answer 1

Answer:
f(x)
Step-by-step explanation:
Range of the function mean the y-values range of the function.The answer is
–∞ < f(x) ≤ 4 beacuse the other 3 equationsa are incorrect.

Answer 2

The range of the function f(x) is:

–∞ < 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) ≤ 4