# How do you graph #f(x) - 1/2x - 3# by plotting points?

See a solution process below:

First, solve for two points which solve the equation and plot these points:

We can next graph the two points on the coordinate plane:

graph{(x^2+(y+3)^2-0.04)((x-2)^2+(y+2)^2-0.04)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y - 1/2x + 3)(x^2+(y+3)^2-0.04)((x-2)^2+(y+2)^2-0.04)=0 [-10, 10, -5, 5]}

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To graph the function ( f(x) = \frac{1}{2}x - 3 ) by plotting points, you can choose various values for ( x ), calculate the corresponding ( f(x) ) values, and plot them on a Cartesian coordinate system. Here are some suggested values for ( x ) to start with: -4, -2, 0, 2, and 4. After calculating the corresponding ( f(x) ) values using the function, plot each point on the graph. Once you have enough points, connect them with a straight line to represent the graph of the function.

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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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