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2 months ago

Which graph represents a function?

Mathematics

2 answers:

Inessa [12.5K]2 months ago

8 0

The fourth graph is the one since it passes the vertical line test; for the first graph, placing a vertical line shows some repeat values, which is also true for the second and third graphs. However, the fourth graph does not show any repeating values when a vertical line is drawn, indicating that it is a function

zzz [12.3K]2 months ago

3 0

Answer: The last graph is the right choice. Its image is provided.

Detailed explanation:

We have four distinct graphs to analyze and must identify which one qualifies as a function.

In graphing terms, a function is defined as follows:

FUNCTION: A function on a coordinate plane has the property where each 'x' value links to a single 'y' value

This means one 'x' cannot correspond to two separate 'y' values.

Observations show that

In graph (1), x = 1 corresponds to y = 3 and -2.

In graph (2), x = 2 gives y = 2 and -2.

In graph (3), x = -3 corresponds to y = 2 and -2.

Thus, these three graphs do not represent functions. But, in graph (4), each 'x' uniquely pairs with only one 'y'.

For instance, if x = 1, then y = 0

if x = 0, then y = 0, and so forth.

Consequently, graph (4) demonstrates a function. Its image is attached.

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