# How do you graph #f(x)= -1/2x-3# using a table of values?

Simply input your values for

For example, say you have have

Then solve for

Repeat this for

Solve for

Finally, for

Solve for

Your final results in a table of values would look like this:

and if your curious, the graph would look like this:

graph{((-1/2)x)-3 [-5.666, 4.334, -4.02, 0.98]}

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Just another table construct example with comments

As this is a strait line graph then technically you only need 2 points and then you can draw a line between and beyond them. However I would recommend 3 points. If they all line up then there is every chance that your calculated values are correct.

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The problem comes when you have a graph of a line that is not strait. You then have to produce a table for a number of points as needs dictate. These points will then be marked on the graph paper and connected by a curved line which (if free hand) you will have to produce as best as your 'eye' permits.

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If the source equation is complex then this type of layout (stepwise construct) really helps.

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To graph ( f(x) = -\frac{1}{2}x - 3 ) using a table of values, you can choose several ( x ) values, calculate the corresponding ( f(x) ) values, and then plot the points on a graph. For example:

When ( x = -2 ), ( f(x) = -\frac{1}{2}(-2) - 3 = 1 - 3 = -2 ) When ( x = 0 ), ( f(x) = -\frac{1}{2}(0) - 3 = 0 - 3 = -3 ) When ( x = 2 ), ( f(x) = -\frac{1}{2}(2) - 3 = -1 - 3 = -4 )

Plot the points (-2, -2), (0, -3), and (2, -4) on the coordinate plane and draw a straight line through them to represent the graph of ( f(x) = -\frac{1}{2}x - 3 ).

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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.

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.

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.

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