Identify the Function: Which Equation Matches This Graph?

Which of the following equations corresponds to the function represented in the graph?

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–4–4–4–3–3–3–2–2–2–1–1–1111222333444000

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's find the right equation for the function shown in the graph.
00:09 First, we need to figure out the slope of this graph.
00:14 Choose two points on the graph to help us determine the slope.
00:22 Now, we'll use a formula to calculate the slope of the function.
00:26 Substitute the values from the graph into the formula, and let's find the slope.
00:33 Great! This is the slope of the graph.
00:39 Next, we'll use the linear equation format.
00:43 Put in the known values to calculate B, the Y-intercept.
00:48 Now, find the Y-intercept value, which is B.
00:52 This is the value of B, also known as the Y-intercept.
00:56 Let's put it all together to form the complete linear equation.
01:00 And there you have it! That's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Which of the following equations corresponds to the function represented in the graph?

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–4–4–4–3–3–3–2–2–2–1–1–1111222333444000

2

Step-by-step solution

To determine the correct equation from the given choices, we observe that the graph represents a horizontal line, positioned at y=3 y = 3 . A horizontal line is defined by a constant y-value because it does not change as x changes. Thus, the line corresponds to the equation y=3 y = 3 , indicating this is the correct equation from the choices provided.

Therefore, the solution to the problem is y=3 y = 3 .

3

Final Answer

y=3 y=3

Practice Quiz

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Is the given graph a function?

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–4–4–4–3–3–3–2–2–2–1–1–1111222333000

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