Analyze Function Behavior: Is y=3 Increasing, Decreasing, or Constant?

Below is a graph of a function.


Is the function increasing, decreasing, or constant?

111222333444555666777888999101010111111121212111222333444555666000

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine whether the function is increasing, decreasing, or constant?
00:03 For this, let's take several points on the graph and observe the rate of change
00:17 We can see there's no change in Y values, therefore the function is constant
00:21 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Below is a graph of a function.


Is the function increasing, decreasing, or constant?

111222333444555666777888999101010111111121212111222333444555666000

2

Step-by-step solution

The problem presents us with a graph of a function, and we need to determine if the function is increasing, decreasing, or constant. An increasing function would show a line rising as you move from left to right, while a decreasing function would show a line falling. A constant function would be represented by a horizontal line on the graph.

Upon examining the graph provided, we observe that the line is horizontal. This means that the y-value of the function does not change regardless of the x-value. The horizontal nature of the line indicates that the function’s output remains the same across its domain, implying that there is neither an upward nor downward trend.

In this scenario, where the graphical line does not incline or decline, the function is determined to be constant. Thus, the correct answer for this problem, based on the graphical representation, is that the function is constant.

Therefore, the solution to the problem is the function is constant.

3

Final Answer

Constant

Practice Quiz

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Given the following graph, determine whether function is constant

–9–9–9–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666000

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