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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)
What else can I help you with?
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 know if a graph you are looking at shows a periodic function?
A graph represents a periodic function if it exhibits a repeating pattern over regular intervals, known as the period. You can identify this by observing if the graph returns to the same values at consistent distances along the x-axis. Additionally, the function should maintain the same shape and characteristics during each cycle. If you can find a segment of the graph that can be translated horizontally to match itself, it likely indicates periodicity.
How do you Identify greatest speed on a graph?
The answer depends on what variables are plotted on the graph!
What are the advantages of recognizing a function as a transformation of a parent graph before graphing that function?
Recognizing a function as a transformation of a parent graph simplifies the graphing process by providing a clear reference point for the function's behavior. It allows you to easily identify shifts, stretches, or reflections based on the transformations applied to the parent graph, which streamlines the process of plotting key features such as intercepts and asymptotes. Additionally, this approach enhances understanding of how changes in the function's equation affect its graphical representation, making it easier to predict and analyze the function's characteristics.
what is identify the range of the function shown in the graph?
-5
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!
How can one determine the phase constant from a graph?
To determine the phase constant from a graph, identify the horizontal shift of the graph compared to the original function. The phase constant is the amount the graph is shifted horizontally.
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
What is the answer for what is the title of this picture trig graph?
The title of a trigonometric graph typically reflects the specific function it represents, such as "Sine Wave," "Cosine Wave," or "Tangent Function." If the graph depicts a sine function, for instance, it may be titled "y = sin(x)." The title helps to identify the type of periodic function and its characteristics, such as amplitude and frequency.
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.
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 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 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 the graph of a function?
Yes the graph of a function can be a vertical or a horizontal line
