1.8k views
0 votes
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}

1 Answer

0 votes

Final answer:

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.

User Vivek Saurav
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories