Identify the Matching Equation: Analyze the Graph Function Representation

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

–9–9–9–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444000

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the appropriate equation for the function in the graph
00:04 We want to find the slope of the graph
00:08 Let's take 2 points on the graph
00:13 We'll use the formula to find the function graph's slope
00:17 We'll substitute appropriate values according to the given data and solve to find the slope
00:22 This is the slope of the graph
00:27 We'll use the linear equation
00:31 We'll substitute appropriate values and solve to find B
00:39 This is the value of B (intersection point with Y-axis)
00:42 We'll construct the linear equation using the values we found
00:46 And this is the solution to the question

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?

–9–9–9–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444000

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the type of line
    The graph illustrates a horizontal line at y=−2 y = -2 . Horizontal lines have a constant y-value across all x-values.
  • Step 2: Recognize the equation of the line
    A horizontal line has the form y=c y = c , where c c is a constant. Here, c=−2 c = -2 .
  • Step 3: Match with given options
    Among the given choices, y=−2 y = -2 correctly represents the function for the graph as it shows a line intersecting the y-axis at -2 and running parallel to the x-axis.

Therefore, the solution to the problem is y=−2 y = -2 , which corresponds to choice id "3".

3

Final Answer

y=−2 y=-2

Practice Quiz

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Determine whether the following table represents a constant function:

XY02468-3-3-3-3-3

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