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Math Asked by a SnapAndSolve user · 15 minutes ago

Complete the table of values for the functions f(x) = -|x| and g(x) = x^2 - 6. Write your answers as whole...

Complete the table of values for the functions f(x) = -|x| and g(x) = x^2 - 6.
Write your answers as whole numbers, decimals, or simplified fractions or mixed numbers.
Based on the values in the table, where does the equation f(x) = g(x) have a solution?

Answer

Table Completion:

  1. For x = 0, f(x) = -|0| = 0 and g(x) = 0^2 - 6 = -6.
  2. For x = 1, f(x) = -|1| = -1 and g(x) = 1^2 - 6 = -5.
  3. For x = 2, f(x) = -|2| = -2 and g(x) = 2^2 - 6 = -2.

Solution:

The equation f(x) = g(x) has a solution at x = 2.

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