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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.
Where the graph of a function equals the value zero?
you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.
Is the standard reciprocal function bounded?
No.As you approach zero from the left, the value increases without bound. As you approach zero from the right, the value decreases without bound.
What is the corner point of a graph of an absolute value equation?
It is sometimes the point where the value inside the absolute function is zero.
How do you find the y-intercept of a function?
The y-intercept is the value of a function f when x is equal to zero. So, substitute 0 for x into the equation and find the value of y.
How can you use the initial value theorem to solve for the initial slope of a function?
I suggest: - Take the derivative of the function - Find its initial value, which could be done with the initial value theorem That value is the slope of the original function.
What is a zero of a quadratic function?
The "zero" or "root" of such a function - or of any other function - is the answer to the question: "What value must the variable 'x' have, to let the function have a value of zero?" Or any other variable, depending how the function is defined.
What is the amount of increase or decrease in a function?
The amount of increase or decrease in a function is determined by the difference between the final value and the initial value of the function. If the final value is greater than the initial value, there is an increase; if the final value is less than the initial value, there is a decrease. The magnitude of this difference indicates the extent of the change in the function.
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.
Why is the zero of a function the same as an x-intercept of a function?
when you have a function lets say y = mx + b then you set it equal to zero and solve you are finding the x values that give you a y value of zero and a y value of zero lies on the x-axis. therefore when you find a zero of a function it's really the x value of where the function touches or crosses the x axis. hope this helps
Is initial speed is always zero?
No, the initial speed of an object can be any value depending on the situation. An object can have an initial speed that is greater than zero.
If a function is equal to zero when x is zero is the function considered defined at that point?
Yes, if the function is equal to zero at x=0, the function is considered defined at that point. The function's value at x=0 does not impact its overall definition.
What is the difference of x intercept and y intercept?
The y-intercept is the value of the function when 'x' is zero. That is, it's the point at which the graph of the function intercepts (crosses) the y-axis. The x-intercept is the value of 'x' that makes the value of the function zero. That is, it's the point at which 'y' is zero, and the graph of the function intercepts the x-axis.
Is it true that the function has a vertical asymptote at every x value where its numerator is zero and you can make a table for each vertical asymptote to find out what happens to the function there?
Every function has a vertical asymptote at every values that don't belong to the domain of the function. After you find those values you have to study the value of the limit in that point and if the result is infinite, then you have an vertical asymptote in that value
What is the definition for the zero of a polynomial function?
The zero of a polynomial in the variable x, is a value of x for which the polynomial is zero. It is a value where the graph of the polynomial intersects the x-axis.
What is the zero of the function?
A zero of a function is the value of the independent variable which makes the value of the function equal to zero. Sometimes called a root of the function, as well.Example: f(x) = x - 3. The value of x, which makes f(x) = 0 is x = 3, so the zero of the function is x=3.For f(x) = x2 - 9: The values, {x=3 and x=-3} both are zeros of this function.To make it more simple, when looking at a graph, the zero is where your function crosses or touches the x-axis. These are REAL zeros. Sometimes, however, the zero might be an imaginary number. You cannot see it on the graph. So you have to work out the problem to determine ALL POSSIBLE zeros.A zero of a function is the value of the independent variable which makes the value of the function equal to zero. Sometimes called a root of the function, as well.Example: f(x) = x - 3. The value of x, which makes f(x) = 0 is x = 3, so the zero of the function is x=3.For f(x) = x2 - 9: The values, {x=3 and x=-3} both are zeros of this function.
Is f(x) a function?
The zero of a f (function) is an x-value that corresponds to where the y-value is zero on the functions graph or the x-intercepts. Functions can have multiple zeroes or no real zeroes at all, depending on the equation.
