Question

All points of the step function f(x) are graphed.

On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 3, 1) to (negative 2, 1). Each segment is 1 unit lower and 1 unit farther to the right than the previous segment. The right-most segment goes from (0, negative 2) to (1, negative 2).

What is the range of f(x)?

−3, −2, −1, 0, 1
−2, −1, 0, 1
all real numbers such that −3 < y ≤ 1
all real numbers such that −2 < y ≤ 1

Answer 1

Answer: The correct option is: all real numbers such that −3≤y≤1.

Step-by-step explanation: The range of the step function f(x) is the set of all possible y-values that the function can take. From the given information about the step graph, we can see that the y-values of the step function lie between -3 and 1, inclusive. The left-most segment starts at y = 1, and each subsequent segment is 1 unit lower. The lowest point on the right-most segment is y = -2.