The correct statement is the first one. g(x) exceeds f(x) by 72.
Which statement is true?
By looking at the table, we can see that f(x) is a linear function and g(x) is an exponential function, such that:
f(x) = 10 + 3x
g(x) = (1/2)^x
By evaluating these functions in x = -6 we get:
[tex]f(-6) = 10 - 3*6 = -8[/tex]
[tex]g(-6) = (1/2)^{-6} = 64[/tex]
The difference is:
g(-6) - f(-6) = 64 + 8 = 72
Then the correct option is the first one, g(x) exceeds f(x) by 72.
If you want to learn more about functions:
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