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Given the graph below, which of the following statements are true?

Given the graph below, which of the following statements are true?-example-1

2 Answers

7 votes

The statement that is true about the function of the graph is that:

Option D: The graph does not represent a one to one function because the y-values between 0 and 2 are paired with other domain.

How to Identify a One-to-One Function?

A one-to-one function, also known as an injective function, is a function in which each input value is mapped to one unique output value. In other words, no two input elements have the same output value.

A one-to-one function can be represented as a vertical line when graphed, as it passes the Horizontal Line Test.

Some properties of one-to-one functions include:

1) The domain of the function equals the range of the function.

2) For every input value in the domain, there is exactly one output value in the range.

3) The graph of the function and the graph of its inverse are symmetric with respect to the line y = x

Thus, the correct option is Option D that it does not represent a one-to-one when considering its entire domain, which means it does not map every element in the domain to a unique element in the range.

answered
User Gerlando
by
9.1k points
6 votes

Answer:

B IS THE ANSWER

Explanation:

answered
User Psytho
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8.5k points

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