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What is the domain and range of a quadratic function?
The domain and range can be the whole of the real numbers, or some subsets of these sets.
Are there no real solutions if a quadratic function is 0?
If a quadratic function is 0 for any value of the variable, then that value is a solution.
What is the domain of the continuous quadratic function y equals 4x2 plus 2?
The domain is from negative infinity to positive infinity. The range is from positive 2 to positive infinity.
What is the degree of a quadratic function?
A quadratic function will have a degree of two.
The is the set of all values a function will accept as inputs.?
There are two sets for any given function, the domain and the range. The range is the set of outputs and the set of inputs is the domain.
What is the domain and range of a quadratic function?
The domain and range can be the whole of the real numbers, or some subsets of these sets.
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.
What are the domain and range of the quadratic parent function?
The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).
Are there no real solutions if a quadratic function is 0?
If a quadratic function is 0 for any value of the variable, then that value is a solution.
What makes a function have a graph that is quadratic?
That the function is a quadratic expression.
When can a quadratic function have an inverse?
It depends on the domain and codomain. In complex numbers, that is, when the domain and codomain are both C, every quadratic always has an inverse.If the range of the quadratic in the form ax2 + bx + c = 0 is the set of real numbers, R, then the function has an inverse if(a) b2 - 4ac ≥ 0and(b) the range of the inverse is defined as x ≥ 0 or x ≤ 0
What is the domain of the continuous quadratic function y equals 4x2 plus 2?
The domain is from negative infinity to positive infinity. The range is from positive 2 to positive infinity.
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.
How does the domain relate to a function?
Any function is a mapping from a domain to a codomain or range. Each element of the domain is mapped on to a unique element in the range by the function.
What part of speech is quadratic function?
A quadratic function is a noun. The plural form would be quadratic functions.
What is the difference between quadratic function and quadratic formula?
A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16. The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function. In the form ax2+bx+c, the Quadratic Formula looks like this: x=-b±√b2-4ac _________ 2a The plus-minus means that there can 2 solutions.
What is the degree of a quadratic function?
A quadratic function will have a degree of two.
