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What else can I help you with?
Is it possible for a polynomial function of degree 3 to have no real zeros?
Yes - but only if the domain is restricted. Normally the domain is the whole of the real numbers and over that domain it must have at least one real zero.
What happens if there are no zeros in a quadratic function?
Whether or not a function has zeros depends on the domain over which it is defined.For example, the linear equation 2x = 3 has no zeros if the domain is the set of integers (whole numbers) but if you allow rational numbers then x = 1.5 is a zero.A quadratic function such as x^2 = 2 has no rational zeros, but it does have irrational zeros which are sqrt(2) and -sqrt(2).Similarly, a quadratic equation need not have real zeros. It will have zeros if the domain is extended to the complex field.In the coordinate plane, a quadratic without zeros will either be wholly above the horizontal axis or wholly below it.
What are the intervals over which the function is increasing or decreasing?
It depends on the function.
What equation is true for some values of its variable and is not true for others?
No equation can have that property. It cannot be an equation if it is not true. If necessary, the domain must be amended. An equation can have different forms over different parts of its domain.
What are whole natural rational irrational numbers?
A while number can be expressed as itself over 1, eg 5 = 5/1; and this is one integer over another which is the form of rational numbers, so Whole numbers are rational numbers.
Is 849670 prime or composite numbers?
849670 is a composite number. All even numbers over 2 are composite numbers.
What is the domain of every quadratic function?
The domain is whatever you want it to be. In the absence of a domain being defined explicitly, it is taken to be the whole of the real line.
Advantages of frequency domain over time domain?
advantage is that if we represent a composite signal in frequency domain........then we clearly see that how much signals are involved in composite signal and their separate peak values
Is it possible for a polynomial function of degree 3 to have no real zeros?
Yes - but only if the domain is restricted. Normally the domain is the whole of the real numbers and over that domain it must have at least one real zero.
What are the composite numbers over 100?
122
Is a series a function whose domain is the set of real number?
Not necessarily. There are series over all kinds of subsets and supersets of the set of real numbers.
Is 522 prime composite or neither?
522 is composite. Composite numbers have over two factors and prime numbers have only two factors which is one and the number itself.
Is 60 an odd composite number?
60 is an even composite number. It ends with 0, making it an even number, and all even numbers over 2 are composite numbers.
How do you sketch a piece wise continuous function?
A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).
What are the composite numbers over 500?
That's an infinite list.
What are composite numbers over 100?
That's an infinite list.
Is x2-y2 equals 81 a function?
The answer, for y as a function of x, depends on the range of y. Over the real numbers, it is not a function because a function cannot be one-to-many. But it is always possible to define the domain and range in such a way that the mapping in not one-to-many.
