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If what is meant is that the exercise asks whether or not y is a function of x, then it can be determined by a brief experiment with the numbers and variables presented in the equation written. If y is isolated from x depending on the organization of whichever total side of the equation where both variables are written, then it becomes simpler to find whether or not y is a function of x. For example, if the equation is written y2 = x + 4, then y is a function of x because x and y are isolated to different sides of the equation. But if the equation is written, for instance, as y2 + 5x = 4, then y is not a function of x because x and y are not isolated to different sides of the given equation. Furthermore, this rule does not depend upon fractions or estimations. The rule holds true because y is a function of x if x and y are related according to the format of the whole equation and the numbers it contains.
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What is F of X?
The term "f of x" is used in calculus to indicate some undefined function that is being applied to the variable x; normally this would appear in the form of an equation, which would then tell us what this function does to x.
How do you tell if a function with a vertical asympote has a numerator of 1 or a numerator of x?
If there are no coordinates given then you cannot.
How do you tell if a graph is a function?
For a 2-dimensional graph if there is any value of x for which there are more than one values of the graph, then it is not a function. Equivalently, any vertical line can intersect the a function at most once.
How do you determine if the graph of a function is concave down without looking at the graph?
If you can differentiate the function, then you can tell that the graph is concave down if the second derivative is negative over the range examined. As an example: for f(x) = -x2, f'(x) = -2x and f"(x) = -2 < 0, so the function will be everywhere concave down.
An even function of minus x does not equal the function of positive x for all values of x -a composite function which results from the function of g within the function of x?
The first part of the question is false, and the correct answer is that an even function of minus x equals the function positive x. This follows from the very definition of an even function. The second part of the question is false, because the truth is that the composite function results from taking the function of x within the function g.
