Choose the Correct Graph for Y = 3X: Understanding Linear Functions

Question

Given that Y is a function of X that matches any value of 3 times X

Choose the appropriate graph to describe the function

Video Solution

Solution Steps

00:00 Draw the function graph
00:04 The function equation according to the given data
00:06 Substitute values in X and find the corresponding Y values according to the given data
00:20 Plot these points and draw the corresponding graph
00:25 And this is the solution to the question

Step-by-Step Solution

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

  • Identify the given function Y=3X Y = 3X .
  • Recall that the equation describes a straight line with a slope m=3 m = 3 and y-intercept b=0 b = 0 .
  • Plot the graph as a line through the origin (0,0), rising 3 units for every 1 unit it runs.
  • Analyze each provided graph to find the graph that matches this description.

Given these steps, start plotting the graph from the origin. The slope of 3 implies a steep line where for each unit moved horizontally (to the right), the line moves three units vertically (upwards).

Examining the graphical choices:

  • Option 1 correctly represents a line with slope 3 through (0,0).

Therefore, the graph that describes the function Y=3X Y = 3X is choice Option 1, which matches the linear equation characteristics.

Answer

–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111333666000

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Related Subjects

Ways to Represent a Function Representing a Function Verbally and with Tables Graphical Representation of a Function Algebraic Representation of a Function Notation of a Function

Question Types

Representations of Functions: Sketch the Graph from a Verbal Description