the graph of the piece - wise function f(x) is shown. what is the range of f(x)? {x|-2≤x<4} {x|-2<x≤4}…

the graph of the piece - wise function f(x) is shown. what is the range of f(x)? {x|-2≤x<4} {x|-2<x≤4} {y|-5<y<-1} {y|-5≤y≤-1}

the graph of the piece - wise function f(x) is shown. what is the range of f(x)? {x|-2≤x<4} {x|-2<x≤4} {y|-5<y<-1} {y|-5≤y≤-1}

Answer

Explanation:

Step1: Identify range concept

The range of a function is the set of all possible output - values (y - values).

Step2: Observe the graph

Looking at the graph of the piece - wise function, the lowest y - value is $y=-5$ (a closed - circle point) and the highest y - value is $y = - 1$ (a closed - circle point).

Answer:

D. ${y|-5\leq y\leq - 1}$