Question

The graph of the piecewise function is shown.
What is the range of f(x)?

A) { f(x)| –∞ < f(x) < ∞}
B) { f(x)| –∞ < f(x) ≤ 4}
C) { f(x)| 4 < f(x) < ∞}
D) { f(x)| 0 ≤ f(x) < ∞}

Answer 1

Range, from -inf to 4 

4 >= f(x) > - inf  B

Answer 2

Answer:

Range of f(x) is:

B) { f(x)| –∞ < f(x) ≤ 4}

Step-by-step explanation:

The range of a function is the set of all those values which that function takes. i.e. The range is the resulting y-values or f(x)-values we get after substituting all the possible values of x.

Here, we can see that f(x) takes all the values between -∞ and 4

Hence, range of f(x) is:

B) { f(x)| –∞ < f(x) ≤ 4}