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Select the correct answer.
Which statement about the function represented by this graph is true?
A. The function has an inverse because it passes the vertical line test.
B. The function does not have an inverse because it never crosses the x-axis
C. The function has an inverse because it passes the horizontal line test.
D. The function does not have an inverse because it does not pass the horizontal line test.

Select The Correct Answer Which Statement About The Function Represented By This Graph Is True A The Function Has An Inverse Because It Passes The Vertical Line class=

Sagot :

Answer:

your answer will be C. The function has an inverse because it passes the horizontal line test.

bye have a nice day ^_^

C. The function has an inverse because it passes the horizontal line test.

What is function ?

A function is a rule or a relation that associates each element of a non-empty set A, to at least a single element of another non-empty set B.

The relation f from a domain set to co-domain set is called function.

Example : f = {(x, y) | for all x∈X & y∈Y}

A relation becomes function when every element of domain has one and only one image in co-domain.

What is inverse of function ?

If f is a function which is one-one as well as on-to, i.e, if the function is bijective, then the inverse of this function exists and the inverse is then denoted by [tex]f^{-1\\}[/tex]

Inverse function of a function always undoes the operations of the function f.

f(a) = b if and only if f⁻¹ (b) = a , where a is from domain & b is from co-domain set.

Which is the correct option ?

From the above descriptions, we can see that, since the function passes through the horizontal line, so it has an inverse.

Hence the option C is the correct one.

C. The function has an inverse because it passes the horizontal line test.

Learn more about inverse function here :

https://brainly.com/question/11735394

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