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State max number of points lie on graph of linear equation in two variables to represent this statement?

There is no "this statement" associated with the question, but the maximum number of points which lie of the graph of a linear equation in two variables is infinite.


What is a point on the graph called if all nearby points have a smaller value?

A point on a graph, when all nearby points have a smaller value, is called a maximum.


What is the maximum number of relative extrema contained in the graph of this function?

The maximum number of relative extrema in the graph of a function is determined by the number of critical points, which occur where the first derivative is zero or undefined. For a polynomial function of degree ( n ), there can be up to ( n - 1 ) relative extrema. Therefore, if you know the degree of the function, you can use this information to determine the maximum number of relative extrema it can have.


What graph has a finite or limited number of data points is?

A discrete graph.


Could lead to a misleading graph?

Incorrectly plotted points.


What can the degree of a polynomial tell you about the graph?

The degree is equal to the maximum number of times the graph can cross a horizontal line.


Is a graph that has a finite or limited number or data points a discrete graph?

Yes, a graph that has a finite or limited number of data points is considered a discrete graph. Discrete graphs represent distinct, separate values rather than continuous data, which would be represented by a continuous graph. In a discrete graph, individual points are plotted, reflecting specific values without connecting lines between them.


What is a graph where the data points do not fall along a straight line is called?

There is no specific name. It could be a non-linear graph, or a scatter graph.


Maximum number of edges in an acyclic undirected graph with n?

n - 1


What is the turning point of a graph called?

The turning point of a graph is called a "critical point" or "extremum." In calculus, these points occur where the derivative of a function is zero or undefined, indicating a local maximum or minimum. At these points, the graph changes direction, which can represent peaks or valleys in the function's behavior.


Does every graph of a cubic function have relative maximum and minimum points?

No, since the equation could be y = x3 (or something similar) which will have a point of inflection at (0,0), meaning there is no relative maximum/minimum, as the graph doesn't double back on itself For those that are unfamiliar with a point of inflection <http://mathsfirst.massey.ac.nz/Calculus/SignsOfDer/images/Introduction/POIinc.png>


What is a relative maximum of a graph vs absolute maximum of a graph?

A relative maximum of a graph refers to a point where the function's value is higher than the values of nearby points, indicating a local peak within a specific interval. In contrast, an absolute maximum is the highest value of the function over its entire domain, meaning no other point on the graph has a greater value. Essentially, all absolute maxima are relative maxima, but not all relative maxima are absolute maxima.

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