Graphing the Linear Function: Y as 4 Times X

Question

Given that Y is a function of X that matches any value of4 times X

Choose the appropriate graph to describe the function

Video Solution

Solution Steps

00:00 Plot the function graph
00:03 Function equation according to the given data
00:06 Substitute values in X and find the corresponding Y values according to the given data
00:13 Plot each point on our coordinate system
00:21 Draw the appropriate graph
00:25 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to graph the function Y=4X Y = 4X . Analyzing it, we recognize:

  • This is a linear function in the form Y=mX+b Y = mX + b , where m=4 m = 4 (slope) and b=0 b = 0 (y-intercept).
  • The line passes through the origin, (0,0), because b=0 b = 0 .
  • For a slope of 4, each unit increase in X X results in a 4-unit increase in Y Y .

We look for a graph showing a straight line through (0,0), with slope 4, represented as a steep incline upwards along the coordinate plane.

From the provided choices, we select the graph with a linear function that passes through the origin at an angle indicating a slope of 4, leading us to choice 2, the correct representation.

Thus, the correct graph of the function Y=4X Y = 4X is the one depicted in choice 2.

Answer

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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