Identify the Graph: Function Where Y = X + 3

Question

Since Y is a function of X that matches every value of X where the number is greater by 3

Circle the appropriate graph to describe the function

Video Solution

Solution Steps

00:00 Draw the function graph
00:03 Function equation according to the given data
00:08 Substitute values in X and find the corresponding Y values according to the given data
00:12 Plot each point in our coordinate system
00:19 Always find at least 3 points in order to draw a graph
00:49 Draw the appropriate graph
00:52 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Recognize the function Y=X+3 Y = X + 3 as a linear function.
  • Step 2: Identify that it has a slope of 1 and a y-intercept at Y=3 Y = 3 .
  • Step 3: Look for a graph that represents a line with the described characteristics.

Let's apply these steps to solve the problem:
Step 1: The function Y=X+3 Y = X + 3 suggests a linear relationship.
Step 2: With a slope of 1, the graph rises 1 unit vertically for every 1 unit horizontally. The y-intercept is 3, meaning the line passes through the point (0,3) (0, 3) .
Step 3: On inspecting the provided choices, identify the graph with the line intersecting the y-axis at 3 and having a slope of 1.

Therefore, the graph that represents the function Y=X+3 Y = X + 3 is the one given by: choice 1.

Answer

–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111–1–1–1111222333444555666777000

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Question Types

Representations of Functions: Sketch the Graph from a Verbal Description