Exploring Constant Function Creation with Two Points: Geometric Analysis

Question

Is it possible to create a constant function with the two given points?

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Video Solution

Solution Steps

00:00 Can we create a constant function from 2 points?
00:04 Let's complete the points on the graph
00:07 It appears that the function is constant
00:10 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll examine the two given points to see if a constant function can be defined through them.

A constant function is represented by f(x)=c f(x) = c , where c c is a constant, meaning all y y -coordinates for the function must be the same regardless of x x .

  • Step 1: Identify the y y -coordinates of the given points from the plot.
  • Step 2: Check if these y y -coordinates are identical, indicating the output of the function does not change.
  • Step 3: If both y y -coordinates are the same, a constant function can indeed pass through both points.

Upon inspection, the y y -coordinates of the two points are the same, which satisfies the requirement for a constant function.

Therefore, it is possible to create a constant function using the two given points.

The correct conclusion is: Yes.

Answer

Yes