function in which no two elements of the domain have the same image
Answers
Answer:
The set A is called the domain of f and the set B is called the codomain. We say two functions f and g are equal if they have the same domain and the same codomain, and if for every a in the domain, f(a)=g(a).
Answer: The answer is 1-to-1 function
The function in which no two elements of the domain have same image is 1-to-1 function.
Function: A mathematical function is an expression, rule, or law that specifies a relationship between one variable (the independent variable) and another variable. In other words, a function tells us how one variable is related to another one (the dependent variable). In mathematics, functions can be found almost anywhere, and the formulation of physical relationships in the sciences is impossible without them.
Step-by-step explanation:
- A function is said to be 1 to 1 if there are no instances in which two different elements in the function's domain correspond to the same element in the function's range.
- To put it another way, there is exactly one image for each possible value of x in the domain.
- And also, there is not a single y in the range that can be imaged by more than one x in the domain.
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