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iVinArrow [24]
2 years ago
8

Determine whether each data set represents a function. Part A and B

Mathematics
1 answer:
Hitman42 [59]2 years ago
5 0

Answer:

Part A - Represents a function

Part B - Doesn't represent a function.

Step-by-step explanation:

A set is just a list of numbers to check. The question is asking you based on the set...

(-5, 8)

(-6, 2)

(-2, -6)

(-1, 8)

(4,6)

if it is a valid function.

At NO point should a function have multiple x values. This fails the <em>Vertical Line Test</em> if visualized on a graph.

For Part A, there are no duplicate x values, meaning this function is valid.

For Part B, there is a duplicate x value - (2,9) & (2,4). Because of this, immediately the function is invalid. There can not be any duplicate x values in a valid function, <u>PERIOD</u>. If graphed, it fails the vertical line test.

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Answer:

Roman

Step-by-step explanation:

An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so <u>if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope</u>. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.

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GEOMETRY PROOFS!
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From the given figure ,

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RC divides it into two parts

From the triangles , ∆REC and ∆RAC

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angle CRE = angle CRA (Given)

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<em>Additional comment:-</em>

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