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.
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.
If there are no coordinates given then you cannot.
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.
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.
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.
you can tell if there is an independent (x) and a dependent (y) variable
You can tell if a function is even or odd by looking at its graph. If a function has rotational symmetry about the origin (meaning it can be rotated 180 degrees about the origin and remain the same function) it is an odd function. f(-x)=-f(x) An example of an odd function is the parent sine function: y=sinx If a function has symmetry about the y-axis (meaning it can be reflected across the y-axis to produce the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2
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.
If there are no coordinates given then you cannot.
You can tell if a function is even or odd by looking at its graph. If a function has rotational symmetry about the origin (meaning it can be rotated 180 degrees about the origin and remain the same function) it is an odd function. f(-x)=-f(x) An example of an odd function is the parent sine function: y=sinx If a function has symmetry about the y-axis (meaning it can be reflected across the y-axis to produce the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2
It tells you where the function intersects the x-axis. In f(x)=x^2-4, 2 is a zero because when x=2, f(x)=0.
It is difficult to tell what function you have in the question because the browser used by this site is hopelessly inadequate for mathematical notation.However,f(x) is an odd function of x if and only if f(-x) = -f(x) for all x.Common examples are f(x) = x^k where k is any odd integer, f(x) = sin(x).
You can tell if an equation is a function if for any x value that you put into the function, you get only one y value. The equation you asked about is the equation of a line. It is a function.
The diagram should be divided into to parts, the domain and the range. The domain is those things that you put into the possible function and the range is what comes out. Let's call a member of the domain x and of the range y. You can tell it is a function by tracing from each x to each y. If there is only one y for each x; there is only one arrow coming from each x, then it is function!
An equation where the left is the function of the right. f(x)=x+3 is function notation. The answer is a function of what x is. f(g(x))= the answer the inside function substituted in the outside function.
For an even function, f(-x) = f(x) for all x. For an odd function, f(-x) = -f(x) for all x.
draw them both out on a graph and then draw the line y=x through the origin. If one function is a reflection of the other, it is the inverse