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The graph of a function f(x), of an n-dimensional variable x = {x1, x2, ... xn}, is the set of all points in n+1 dimensional space whose coordinates are {x1, x2, ... xn, f(x)}.
In its most simplistic form, if y = f(x), then the graph of the function f(x) is the set of all points, in 2-dimensional space, whose coordinates are (x, f(x)).
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What is the definition of graph of an inequality?
a graph
Definition of sine wave?
A sine wave is the graph of y = sin(x). It demonstrates to cyclic nature of the sine function.
How does the graph of the Mandelbrot set function relate to composite functions?
The Mandelbrot graph is generated iteratively and so is a function of a function of a function ... and in that sense it is a composite function.
How can you tell if a graph is a continuous function or a discrete function?
The graph of a continuous function will not have any 'breaks' or 'gaps' in it. You can draw it without lifting your pencil or pen. The graph of a discrete function will just be a set of lines.
What is the graph of a linear function?
the graph is called a line
What is the definition qualitative graph?
a graph where a function is described without using specific values
What is the definition for vertical line test in the subject math?
The Vertical Line Test for Functions: If any vertical line intercepts a graph in more than one point, the graph does not define y as a function of x. By the definition of a function, for each value of x we can have at most one value for y.
What is the definition of parent graph?
the parent graph of a graph
What is the definition of graph of an inequality?
a graph
Is a circle graph a function?
No, a circle graph is never a function.
Definition of sine wave?
A sine wave is the graph of y = sin(x). It demonstrates to cyclic nature of the sine function.
You are told that the average rate of change of a particular function is always negative What can you conclude about the graph of that function and why?
It is a function whose graph starts in the top left and goes to the bottom right. There could be some intervals in which the graph moves upwards to the right. This follows from the definition of average rate of change.
What is the zero of a function and how does it relate to the functions graph?
A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.
Can a line be a graph of a function?
Yes the graph of a function can be a vertical or a horizontal line
Can a line be the graph of a function?
Yes the graph of a function can be a vertical or a horizontal line
How can you tell if a graph is a sine function or a cosine function?
sine graph will be formed at origine of graph and cosine graph is find on y-axise
How is the function differentiable in graph?
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
