How do you graph #f(x)=abs(x-3)+4#?
Actually there are two graphs
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To graph the function ( f(x) = |x - 3| + 4 ), follow these steps:
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Identify the key features:
- The function is in the form of ( |x - h| + k ), where ( h = 3 ) and ( k = 4 ).
- The vertex of the absolute value function is at the point ((h, k)), which is ((3, 4)).
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Plot the vertex ((3, 4)) on the coordinate plane.
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Determine additional points to graph the function:
- Choose values of ( x ) to the left and right of the vertex to find corresponding ( y ) values.
- For example, let's use ( x = 1 ) and ( x = 5 ):
- When ( x = 1 ): ( f(1) = |1 - 3| + 4 = 2 + 4 = 6 ), so plot the point ((1, 6)).
- When ( x = 5 ): ( f(5) = |5 - 3| + 4 = 2 + 4 = 6 ), so plot the point ((5, 6)).
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Connect the plotted points with a straight line. Note that the absolute value function creates a "V" shape centered at the vertex.
Your graph should show a "V" shape with the vertex at ((3, 4)) and the arms extending upwards to ((1, 6)) and ((5, 6)).
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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.
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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