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one output
values over the change in
x-values (rise/run)
touches the
y-axis; the beginning value of a situation
when graphed; has a constant slope
tical Line Test". If a vertical line would touch more than one
ing inputs only df repeating inputs have different outputs, it is
(4) Which of the following relations does
NOT represent a function?
A.
{(5,8),(10,2),(12,-2),(15,-5)}
B.
y=(1)/(2)x+8
C. Multiplying each input by 10 to produce

one output $\newline$ values over the change in $x$ -values (rise/run) $\newline$ touches the $y$ -axis; the beginning value of a situation $\newline$ when graphed; has a constant slope $\newline$ tical Line Test

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Write two-variable inequalities: word problems

Full solution

Q. one output

\newline

values over the change in

x

-values (rise/run)

\newline

touches the

y

-axis; the beginning value of a situation

\newline

when graphed; has a constant slope

\newline

tical Line Test

Define Function: A function is defined as a relation where each input has exactly one output. To determine if a relation is a function, we can use the ＂Vertical Line Test＂. If a vertical line intersects the graph of the relation at more than one point, then the relation is not a function.
Vertical Line Test: For choice A, we have a set of ordered pairs. We need to check if any $x$ -value is repeated with different $y$ -values. The pairs are $\{(5,8),(10,2),(12,-2),(15,-5)\}$ . No $x$ -value is repeated, so this relation is a function.
Check Choice A: For choice B, the equation $y=\frac{1}{2}x+8$ represents a straight line, which means for every $x$ -value there is only one $y$ -value. This is a function.
Check Choice B: For choice C, the description is incomplete and does not provide enough information to determine if it's a function. However, the prompt asks for the relation that does NOT represent a function, so we can't conclude anything from this incomplete information. We need to look for an option that clearly does not represent a function.
Incomplete Description: Since choices $A$ and $B$ are functions and choice $C$ is incomplete, we can't identify a relation that does NOT represent a function based on the given information. There seems to be a mistake in the problem statement as it does not provide a complete set of choices.

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\newline

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