Question

Identify the range of the function shown in the graph.

10-
8
0
4+
2+
-10 -8 -6
4
-2
2
4
6
8 10
4
LB
-8
10 -
A. y is all real numbers.
B. y> 0
C. -2
D. {-2, 2}

Answer 1

The range of the function represented by a horizontal line at y=10 is a single value, specifically the set {10}, indicating that for all x in the domain, the output of the function is 10.

Step-by-step explanation:

The question asks to identify the range of a function based on its graph. The range of a function is the set of all possible output values (y-values) that the function can produce. Given a function f(x) defined for 0 ≤ x ≤ 20, and knowing that it represents a horizontal line, we know that for any input x, the output f(x) will be constant.

Since the graph depicts a horizontal line, this indicates that the value of f(x) does not change regardless of the value of x within its domain. If the graph of f(x) is a horizontal line at y=10, then the range is simply the single value 10, or as a set, {10}. Therefore, the range is not all real numbers, not greater than 0, and does not include negative or other positive values except for 10 which is consistent with the function f(x)=10 for the domain given.