How do you graph #y =  3x+5 #?
See below.
We need to graph to lines.
We need to find the x axis intercept of these. Which is:
Since we can only have positive y values, we need to graph these piecewise.
For
For
Graph:
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To graph the equation (y =  3x + 5 ):

Set up a table of values by choosing several xvalues and finding the corresponding yvalues:
x 2 1 0 1 2 y 11 8 5 2 1 
Plot the points from the table on the coordinate plane.

Because of the absolute value function, the graph will reflect any points below the xaxis to their corresponding points above the xaxis.

Draw a smooth curve connecting the points, making sure to maintain the symmetry of the graph due to the absolute value function.

Label the graph as (y =  3x + 5 ).
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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