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3 years ago

Which relation is a function?

Mathematics

2 answers:

yuradex [85]3 years ago

4 0

Answer:

The first one

Step-by-step explanation:

Use the vertical line test, all others cross in more than one place.

LenaWriter [7]3 years ago

3 0

Answer:

The first one

Step-by-step explanation:

A relation is a function if for any x value of an ordered pair, there is only one corresponding y value.

<em>Hope this helps</em>

<em>-Amelia The Unknown </em>

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IN (3)

svetoff [14.1K]

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) $y =2x +5$

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using:

$(x_1,y_1) = (2,9)$

$(x_1,y_1) = (10,25)$

So, we have:

$m = \frac{25 - 9}{10 - 2}$

$m = \frac{16}{8}$

$m=2$

The equation is calculated using:

$y - y_1 =m(x - x_1)$

Using:

$(x_1,y_1) = (6,17)$

We have:

$y - 17 =2(x - 6)$

$y - 17 =2x - 12$

Make y the subject

$y =2x - 12+17$

$y =2x +5$

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

$y =2x +5$

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3 years ago