Question 1195887


({{{2}}},{{{10}}}), ({{{4}}},{{{20}}}), ({{{5}}},{{{25}}}), ({{{7}}}, {{{35}}}), ({{{9}}}, {{{45}}})

A relation is a function if it relates every element in its domain to one and only one element in the range.

Domain:{2,4,5,7,9}
Range:{10,20,25,35,45}

every element in its domain to one and only one element in the range

The list of ordered pairs is a function.

check if  a function is linear

{{{y=mx+b}}}

use ({{{2}}},{{{10}}}), ({{{4}}},{{{20}}}) and calculate a slope

{{{m=(20-10)/(4-2)}}}

{{{m=10/2}}}

{{{m=5}}}

use point slope form to find equation


{{{y-y1=2(x-x1)}}}.... ... plug in the coordinates of the point ({{{2}}},{{{10}}})

{{{y-10=5(x-2)}}}

{{{y-10=5x-10}}}

{{{y=5x-10+10}}}

{{{y=5x}}}

 a rule that represents the function is: {{{y=5x}}}