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"y = f(x) is a function if it passes the vertical line test. It is a 1-1 function if it passes both the vertical line test and the horizontal line test. " -
In order to be a one-to-one function, it first has to BE a function and pass the vertical line test. For example, a relation on a graph like a circle that does not pass the vertical line test is not function nor one-to-one.
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What does the horizontal line tell you about a function?
If the function is a one-to-one function, therefore it has an inverse.
Is a piecewise function one to one?
A piecewise function can be one-to-one, but it is not guaranteed to be. A function is considered one-to-one if each element in the domain maps to a unique element in the range. In the case of a piecewise function, it depends on the specific segments and how they are defined. If each segment of the piecewise function passes the horizontal line test, then the function is one-to-one.
What is a type of function whose graph is a nonvertical line?
A monotonic, or one-to-one function.
Can an invertible function have more than one x-intercept?
No. If the function has more than one x-intercept then there are more than one values of x for which y = 0. This means that, for the inverse function, y = 0 should be mapped onto more than one x values. That is, the inverse function would be many-to-one. But a function cannot be many-to-one. So the "inverse" is not a function. And tat means the original function is not invertible.
What is one to one -function?
It is a surjection.
What does a one to one function look like?
One to one functions on a graph can vary. To determine if a function is one to one, a horizontal line can only intersect the function once. If it intersects the function more than once, it is not a one to one function.
Define one-to-one function?
the function (x),sory I can`t use the sign of the function because it is not available. the function of (x)=4x+4 is one to one function assume function(x1)= function(x2) then 4(x1)+4 =4(x2)+4 4(x1)=4(x2) (x1)=(x2) hence,the function is one to one
What does the horizontal line tell you about a function?
If the function is a one-to-one function, therefore it has an inverse.
Is a piecewise function one to one?
A piecewise function can be one-to-one, but it is not guaranteed to be. A function is considered one-to-one if each element in the domain maps to a unique element in the range. In the case of a piecewise function, it depends on the specific segments and how they are defined. If each segment of the piecewise function passes the horizontal line test, then the function is one-to-one.
How do you describe a function in algebra?
a function is a one-to-one and many-to one relation
Describe what it means for a function to be one to one?
It is the function for which all the elements of the range of the function corresponds to exactly one element of the domain.
Is the invertible to be one to one function?
Yes, a function needs to be one-to-one in order to have an inverse.
Is the absolute value function and the greatest integer function one to one?
Neither of the two are one-to-one
Does the greatest integer function have an inverse function?
Inverse of a function exists only if it is a Bijection. Bijection=Injection(one to one)+surjection (onto) function.
What is a function in which each y-value corresponds to only one x-value?
That's a normal function. It means that it passes the vertical line test. A function where there is only one y-value for each x-value and only one x-value for each y-value is called a one-to-one function. The inverse of a one-to-one function is also a function.many-to-one function. ~APEX
Is the graph of every line a function?
No. One argument of function may have only one value. So, if it has more than one value, it is not a function.
In a function can an input have more than one outputs?
No. If an input in a function had more than one output, that would be a mapping, but not a function.
