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How do you graph the equation by plotting points x=6?

Answer 1

Avery Alexander

See a solution process below:

This equation produces a value of #6# for each and every value of #y#.

So:

For #y = -10# #x = 6# or #(6, -10)#

For #y = -5# #x = 6# or #(6, -5)#

For #y = 0# #x = 6# or #(6, 0)#

For #y = 5# #x = 6# or #(6, 5)#

For #y = 10# #x = 6# or #(6, 10)#

These points can be plotted as:

graph{((x-6)^2+(y+10)^2-0.2)((x-6)^2+(y+5)^2-0.2)((x-6)^2+y^2-0.2)((x-6)^2+(y-10)^2-0.2)~=0 [-26, 26, -13, 13]}

At this point, we can graph the equation by drawing a line through the points:

graph{((x-6)^2+(y+10)^2-0.2)((x-6)^2+(y+5)^2-0.2)((x-6)^2+y^2-0.2)((x-6)^2+(y-10)^2-0.2)((x-6)^2+(y-5)^2-0.2)(x - 6)=0 [-26, 26, -13, 13]}

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Answer 2

Eli Assouline

To graph the equation x = 6, you would plot points where x is always 6 and y can take any value. This results in a vertical line passing through the point (6, y) for all y values.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.