Graph the relation {(5, 0), (0, 5), (5, 1), (1, 5)}. Is it a function? Why or why not?

a. No, it does not pass the horizontal-line test.

b. Yes, it passes the vertical-line test.

c. Yes, it passes the horizontal-line test.

d. No, it does not pass the vertical-line test.

Respuesta :

D. is the correct answer, as functions cannot have the same x value correspond to different y values. For a function to be considered a function, it must always pass the vertical line test.

The relation does not pass horizontally as well as the vertical line test so options (a) and (d) both will be correct.

What is a function?

The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each

In the relation

Corresponding x = 5 ⇒ y = 0 and y = 1 two values arises so it failed vertical line test.

Corresponding to y = 5 ⇒ x = 0 and x = 1 so it also failed horizontal line test.

For more about the function

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