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3 years ago

These ordered pairs, {(2,4) (3,6) (4,8) (5,10)}, are a function. True False

Mathematics

1 answer:

ki77a [65]3 years ago

8 0

Answer:

True

Step-by-step explanation:

In order for a relation (a set of ordered pairs) to be considered a function, every value in the domain (the set of all the first numbers in the pair) is associated with one value in the range (the set of all second numbers in the pair). This is easiest to see visually. Our domain is the set {2, 3, 4, 5} and our range is the set {4, 6, 8, 10}, and we can visualize the ordered pair (2, 4) as an "arrow" starting a 2 in the domain and ending at 4 in the range. When seen this way, a relation is a function if every value in the domain only has one arrow coming out of it. We can see from the attached picture that the ordered pairs in the problem are a function, so this statement is true.

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viktelen [127]

Hello!

Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:

$\frac{ y_{1}- y_{2} }{ x_{1} - x_{2} }$

The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:

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Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.

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Step-by-step explanation:

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3 years ago

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2 years ago

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Answer:

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So your final answer is 8 and 2/15 :)

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