Identify the Graph: Function Where Y = X + 3

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

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

• Step 1: Recognize the function $Y = X + 3$ as a linear function.
• Step 2: Identify that it has a slope of 1 and a y-intercept at $Y = 3$.
• 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 $Y = X + 3$ 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 $(0, 3)$.
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 $Y = X + 3$ is the one given by: choice 1.