difference between abscissa and ordinate

Functions, then, become a subset of equations that involve expressions. These things being said, it is logical to infer that all functions are equations, but not all equations are functions. Derivative operators, for example, can have values that are not real numbers and, therefore, cannot be graphed. On the other hand, functions can have no graph at all. As long as the students have the values for all the variables, it would be easy for them to draw the equation in a Cartesian plane. The graph of a function, however, will cross the vertical line at two or more points.Įquations can always be graphed because of the definite values of “X” solved through transposition, elimination, and substitutions. The graph of an equation drawn using a single line for linear and parabola for higher-degree equations should only intersect at one point with a vertical line drawn in the graph. The value of “Y” in an equation can vary when the values of “X” changes, but there are cases when a single value of “X” can result in multiple and different values of “Y.” On the other hand, the abscissa of a function can only have one ordinate as the values are assigned.ĭifferent tests are also applied in the precision assessments of equation and function graphs. For equations, the X-coordinate or the abscissa can take on different Y-coordinates or distinct ordinates. Graphs of equations and functions also differ. There is a definite value that would satisfy the equation. The right side equated to a value or expression to the left side of the equation simply means that the value of both sides is equal. On the other hand, equations show the relationship between their two sides. For every value of “X” assigned, students can get a value that can describe the mapping of “X” and the function input. To make it clearer, students should understand that a function gives the value and defines the relationships between two or more variables. In simpler terms, the value of an equation is determined by the value the expressions are equated with, while the value of a function depends on the value of “X” assigned. In f(2), the function can have a value of 5, while making it f(4) can give out the function’s value of 11. On the other hand, the function f(x)=3x-1 can have varied solutions depending on the assigned value for x.

This then gives 12 as the solution of the equation. When one solves for the value of “X” in the equation 3x-1=11, the value of “X” can be derived through the transposition of the coefficients. On the other hand, functions can have solutions based on the input for the values of the variables. Equations can have one or two values for the variables used depending on the value equated with the expression. Then again, the differences between these two are drawn by their outputs. This is because both use expressions in solving the value for the variable. When students encounter algebra in high school, the differences between an equation and a function becomes a blur.

Difference between abscissa and ordinate