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Every function is a graph. So the only thing is to distinguish functions from other graphs.
One formal convention actually define function as its graph, and a graph is the set of all ordered pairs (x, y)
A function is a special graph where it's set set of all ordered pairs (x, y) where y = f(x). f(x) is unique (or rather one goes in only one comes out), meaning for each x, there is one and only one y. (Note: For each y, there might be many x)
So to test this, we use a "vertical line test". The idea is for all x in the domain of f, say A, we draw a vertical line (x = a for some a in A), it only intersect the graph of f one and only once. Of course, there are infinity many points, you have to do it infinitly many times. Therefore, you can do it generacally:
Let A:= dom f
For all a in A, f is a function if and only if (x = a implies f(x) = f(a) and nothing else)
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You can easily identify the x-intercepts of the graph of a quadratic function by writing it as two binomial?
factors
How you identify function based from graphs and equation?
An equation is the same as a function. Identifying a functional relationship from a graph is nearly impossible unless it is trivially simple like a linear relationship.
How do you Identify greatest speed on a graph?
The answer depends on what variables are plotted on the graph!
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 identify the range of the function shown in the graph?
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You can easily identify the x-intercepts of a graph of a quadratic function by writing it as two binomial what?
You can easily identify the x-intercepts of a graph of a quadratic function by writing it as two binomial factors! Source: I am in Algebra 2 Honors!
You can easily identify the x-intercepts of the graph of a quadratic function by writing it as two binomial?
factors
Given the function below what is the value of the discriminant and how many times does the graph of this function intersect or touch the x-axis?
Discriminant = 116; Graph crosses the x-axis two times
Is a circle graph a function?
No, a circle graph is never a function.
What is the relationship between a logarithmic function and its corresponding graph in terms of the log n graph?
The relationship between a logarithmic function and its graph is that the graph of a logarithmic function is the inverse of an exponential function. This means that the logarithmic function "undoes" the exponential function, and the graph of the logarithmic function reflects this inverse relationship.
How you identify function based from graphs and equation?
An equation is the same as a function. Identifying a functional relationship from a graph is nearly impossible unless it is trivially simple like a linear relationship.
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.
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
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 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.
