Hich set of points represents a function? a. (0, 2), (1, 2), (2, 4), (3, 5), (4, 5) b. (1, 2), (2, 1), (2, 4), (3, 5), (4, 5) c. (3, 4), (2, 1), (4, 2), (3, 5), (4, 5) d. (5, 2), (3, 2), (4, 2), (5, 3), (4, 5)

Set A. (0, 2), (1, 2), (2, 4), (3, 5), (4, 5) represents a function

Why?

A function is a special kind of relation in which each value of the input variable is paired with exactly one value of the output variable.

Each value in the input variable in set A is paired with exactly one value of the output variable.

0 - 2

1 - 2

2 - 4

3 and 4 - 5

While on the other hand, sets B, C and D has the values of the input variable paired with more than one value of the output variables.

Set A because each input has exactly one output

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step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)