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3 years ago

Which relation is a function?

Mathematics

2 answers:

Alinara [238K]3 years ago

5 0

The answer would be last graph :)

Artemon [7]3 years ago

4 0

Answer:

The <u>last graph</u> is a <u>function.</u>

Step-by-step explanation:

They are reflected off of each other, aka they are in an organized pattern. The other graphs are a series of random plots, meaning they have no function.

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Write a linear function f with f(0)=7 and f(3)=1.

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a = ( 0 , 7 ) & b = ( 3 , 1 )

First need to find the slope using the following equation :

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

$slope = \frac{1 - 7}{3 - 0} \\$

$slope = \frac{ - 6}{3} \\$

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_________________________________

We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .

$y - y(0) = m \times ( \: x - x(0) \: )$

$x(0) = x - coordinate \: \: of \: \: through \: \: point \\$

$y(0) = y - coordinate \: \: of \: \: through \: \: point \\$

$m = slope$

I choose point (( a )) to put in the equation.

$y - 7 = - 2 \times (x - 0)$

$y - 7 = - 2x + 0$

$y - 7 = - 2x$

Add sides 7

$y - 7 + 7 = - 2x + 7$

$y = - 2x + 7$

This the slope-intercept form .

Done...

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Step-by-step explanation:

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