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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
How do you find the domain if you are given the range?
Use the function to find the image of each point in the domain. The set of values that you get will be the range. If the function is well behaved, you will not have to try each and every value in the domain.
What is the definition of a Vertex form of a quadratic function?
it is a vertices's form of a function known as Quadratic
What makes a function have a graph that is quadratic?
That the function is a quadratic expression.
What is the difference between a linear and quadratic function?
A linear function is a line where a quadratic function is a curve. In general, y=mx+b is linear and y=ax^2+bx+c is quadratic.
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 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 any quadratic function?
In trig, usually 0 to 2pi but it can be anything.
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).
Does the graph of every quadratic function have a y-intercept?
Yes.
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.
What part of speech is quadratic function?
A quadratic function is a noun. The plural form would be quadratic functions.
Is all relation a function?
Not every relation is a function. A function is type of relation in which every element of its domain maps to only one element in the range. However, every function is a relation.
What is the degree of a quadratic function?
A quadratic function will have a degree of two.
A relation in which every domain value is paired with exactly one range value?
Function
How do you find the domain if you are given the range?
Use the function to find the image of each point in the domain. The set of values that you get will be the range. If the function is well behaved, you will not have to try each and every value in the domain.
