How do you graph the equation #y-8=-x# by making a table and what is its domain and range?

1 Answer
Dec 19, 2016

Answer:

Read explanation

Explanation:

there are many ways to go about it, i am going to show you how graph this equation and how to find domain and range.

First step: we need to solve for #y#:
#y-8=-x#

add 8 both sides of equation

#y-8+8=-x+8#

simplify both sides of equation

#y=-x+8#

Second step: graph the equation by making a table
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and then choose two points at least from the table and then put these points graph and then match the points by one line
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Third step: find domain and range

Consider a simple linear equation like the graph shown, below drawn from the function #y=-x+8#. What values are valid inputs? It's not a trick question -- every real number is a possible input! The function's domain and range is all real numbers because there is nothing you can put in for #x# and #y# that won't work. That's why the graph extends forever in the #x# directions (left and right) and that's why the graph extends forever in the #y#directions (down and up) .
or we can say domain and range equal all real number

Domain and Range = (#-oo#,#+oo#)