(50 points)
Use the tables to determine which function will eventually exceed the other, and provide your reasoning.

x f(x)
−1 0.5
0 1
1 2
2 4

x g(x)
−1 −7
0 −2
1 5
2 14

f(x) will eventually exceed g(x) because f(x) is an exponential function.
f(x) will eventually exceed g(x) because f(x) has a higher rate of change.
g(x) will eventually exceed f(x) because g(x) is an exponential function.
g(x) will eventually exceed f(x) because g(x) has a higher rate of change.

Respuesta :

The answer is f(x) will eventually exceed g(x) because f(x) is an exponential function.

Based on the given table, we can say that  f(x) will eventually exceed g(x) because f(x) is an exponential function.

What is an exponential function?

An exponential function refers to a mathematical function in the following form: f ( x ) = a^x.

Here

x is a variable,

and a is a constant called the base of the function.

So based on the given table, we can say that   f(x) will eventually exceed g(x) because f(x) is an exponential function.

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