High School Can 2x/3x Equal 2/3x Squared on a Graphing Calculator?

  • Thread starter Thread starter Beanyboy
  • Start date Start date
Click For Summary
The graphs of y = 2x/3x and y = 2/3x squared are identical on a graphing calculator due to the way the expressions simplify. The expression 2x/3x can be rewritten as (2/3)x, which is equivalent to (2/3)x^2 when evaluated correctly. This demonstrates that both functions yield the same result when plotted. Understanding the order of operations in multiplication and division is key to this equivalence. Thus, both equations represent the same function graphically.
Beanyboy
Messages
83
Reaction score
20
TL;DR
Functions of both graphs are identical on calculator.
On my graphing calculator y = 2x/3x gives precisely the same graph as y = 2/3x squared. How is this possible?
 
Mathematics news on Phys.org
Multiplications and divisions should be evaluated from left to right. 2x/3x = (2x/3) x = (2/3) x^2
 
Beanyboy said:
Summary: Functions of both graphs are identical on calculator.

On my graphing calculator y = 2x/3x gives precisely the same graph as y = 2/3x squared. How is this possible?
If you want the calculator to graph ##y = \frac{2x}{3x}##, write it as y = (2x)/(3x)
 
  • Like
Likes Beanyboy
willem2 said:
Multiplications and divisions should be evaluated from left to right. 2x/3x = (2x/3) x = (2/3) x^2
Thanks. Much appreciated.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

MHB Solving $\tan^2x + \tan^2{2x} + \cot^2{3x} = 1$ in R
  • · Replies 6 ·
Replies
6
Views
1K
MHB Equation 2: Prove that ##x^2+2x\sqrt x+3x+2\sqrt x+1=0##
  • · Replies 4 ·
Replies
4
Views
1K
MHB Why I Get X & Y Mixed Up When Plotting Graphs
  • · Replies 3 ·
Replies
3
Views
2K
MHB Absolute Value Equation |3x - 2|/|2x - 3| = 2
  • · Replies 10 ·
Replies
10
Views
2K
High School Solving the Heart Curve Equation: 'y =
  • · Replies 18 ·
Replies
18
Views
4K
MHB [ASK] Make x and y the Subjects: x^3-3xy^2=a, 3x^2y-y^3=b
  • · Replies 6 ·
Replies
6
Views
2K
MHB Solve √(x^2+3x+7)-√(x^2-3x+9)+2=0
  • · Replies 5 ·
Replies
5
Views
2K
MHB Quadratic equations ( solving for zeros/roots) trickey
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad My attempt to understand horizontal transformations of functions
  • · Replies 6 ·
Replies
6
Views
2K
MHB Which Equation Represents a Line Parallel to 3y-1=2x?
  • · Replies 5 ·
Replies
5
Views
3K