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Sketch the graph of the function. f(x) = |x| - 5 Use the graphing tool to graph the function.

Sketch the graph of the function.
f(x) = |x| - 5
Use the graphing tool to graph the function.

Answer

The function f(x) = |x| - 5 is an absolute value function. The graph is a V-shaped graph with its vertex at the point (0, -5). The graph opens upwards. The slope of the lines on either side of the vertex is 1 and -1 respectively.

  1. Plot the vertex at (0, -5).
  2. Draw a line with a positive slope (1) from the vertex going to the right.
  3. Draw a line with a negative slope (-1) from the vertex going to the left.

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