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What is the antiderivative of zero?
The antiderivative of a function which is equal to 0 everywhere is a function equal to 0 everywhere.
How can you know that a value is the minimum of a function?
When the first derivative of the function is equal to zero and the second derivative is positive.
To find critical points?
Take the derivative of the function and set it equal to zero. The solution(s) are your critical points.
How do you find the horizontal asymptote of a trig function?
The only trig functions i can think of with horizontal assymptotes are the inverse trig functions. and they go assymptotic for everytime the non-inverse function is equal to zero.
What is a rational function graph?
The Equation of a Rational Function has the Form,... f(x) = g(x)/h(x) where h(x) is not equal to zero. We will use a given Rational Function as an Example to graph showing the Vertical and Horizontal Asymptotes, and also the Hole in the Graph of that Function, if they exist. Let the Rational Function be,... f(x) = (x-2)/(x² - 5x + 6). f(x) = (x-2)/[(x-2)(x-3)]. Now if the Denominator (x-2)(x-3) = 0, then the Rational function will be Undefined, that is, the case of Division by Zero (0). So, in the Rational Function f(x) = (x-2)/[(x-2)(x-3)], we see that at x=2 or x=3, the Denominator is equal to Zero (0). But at x=3, we notice that the Numerator is equal to ( 1 ), that is, f(3) = 1/0, hence a Vertical Asymptote at x = 3. But at x=2, we have f(2) = 0/0, 'meaningless'. There is a Hole in the Graph at x = 2.
What Is a constant function equal to zero?
No.
What is the antiderivative of zero?
The antiderivative of a function which is equal to 0 everywhere is a function equal to 0 everywhere.
What do you mean by a function identically equal to zero?
A polynomial is identically equal to zero if and only if all of its coefficients are equal to zero. eg. The power series on the left is identically equal to zero, consequently all of its coefficients are equal to 0:
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.
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.
Why do you equate the equation to zero?
Not all equations are equated to zero, but usually we set a function equal to zero if we want to find its x intercepts, or where the graph of the function crosses the x axis.
How can you know that a value is the minimum of a function?
When the first derivative of the function is equal to zero and the second derivative is positive.
How do you find the minimum and maximum points of a function?
Set the first derivative of the function equal to zero, and solve for the variable.
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
How do you determine the x-intercepts of the polynomial function?
set the values of the y equal to zero
What is a root of a polynomial function?
A value of the variable that makes the polynomial equal to zero (apex)
What is zero to the fourth power?
Zero to any non-zero real number power is equal to zero. Unless a function evaluates to 'zero to the infinity power' then you must take limits to determine what the limit evaluates to. Zero to the zero power is undefined, but you can take a limit of the underlying function to determine if the limit exists.
