Identify the Function: Which Equation Matches This Graph?

Question

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

Video Solution

Solution Steps

00:00 Find the appropriate equation for the function in the graph
00:03 We want to find the slope of the graph
00:08 Let's take 2 points on the graph
00:16 We'll use the formula to find the function's slope
00:20 We'll substitute appropriate values according to the data and solve for the slope
00:27 This is the slope of the graph
00:33 We'll use the linear equation
00:37 We'll substitute appropriate values and solve for B
00:42 We'll substitute appropriate values and solve for B
00:46 This is the value of B (Y-intercept)
00:49 We'll construct the linear equation using the values we found
00:52 And this is the solution to the question

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 .

Answer

y=3 y=3

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Question Types

Representations of Functions: Matching a graph to a function