How do you graph #f(x) =abs(x-4)+1#?

Answer 1

See the explanation below.

The graph of the function would be same as that of f(x)=|x| with a horizontal translation to the right by 4 units and vertical translation up by 1 unit.

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Answer 2

To graph ( f(x) = |x - 4| + 1 ), follow these steps:

  1. Identify the vertex, which is (4, 1).
  2. Plot the vertex on the coordinate plane.
  3. Choose at least two additional points to plot.
  4. Use the symmetry of the absolute value function to plot the rest of the points.
  5. Draw a smooth curve connecting the points.

If you need further clarification on any step, feel free to ask.

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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.

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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