To determine over which intervals f(x) = g(x), we need to compare the values of f(x) and g(x) for each corresponding value of x in the table.
From the table:
- For x = -4, f(-4) = 1 and g(-4) = -3, so f(x) ≠ g(x).
- For x = -1, f(-1) = 0 and g(-1) = 2, so f(x) ≠ g(x).
- For x = 0, f(0) = -3 and g(0) = 5, so f(x) ≠ g(x).
- For x = 2, f(2) = -1 and g(2) = 0, so f(x) ≠ g(x).
- For x = 3, f(3) = 6 and g(3) = 2, so f(x) ≠ g(x).
- For x = 5, f(5) = 10 and g(5) = 7, so f(x) ≠ g(x).
Based on the given table, there are no intervals over which f(x) = g(x).
The following table includes values from two functions.
TABLE X -4 -1 0 2 3 5
F(x) 1 0 -3 -1 6 10
G(X) -3 2 5 0 2 7
Over which intervals is f(x) = g(x) Explain your answer
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