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Both of these functions grow as xx gets larger and larger. Which function eventually exceeds the other?\newline Choices:\newline(A)f(x)=8x+3.3(A)f(x) = 8x + 3.3\newline(B)g(x)=3.3x−5(B)g(x) = 3.3^x - 5

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Q. Both of these functions grow as xx gets larger and larger. Which function eventually exceeds the other?\newline Choices:\newline(A)f(x)=8x+3.3(A)f(x) = 8x + 3.3\newline(B)g(x)=3.3x−5(B)g(x) = 3.3^x - 5
  1. Identify function types: Identify the type of each function.\newlinef(x)=8x+3.3f(x) = 8x + 3.3 is a linear function because it is of the form y=mx+by = mx + b.\newlineg(x)=3.3x−5g(x) = 3.3^x - 5 is an exponential function because it is of the form y=ax+cy = a^x + c.
  2. Compare growth rates: Compare the growth rates of linear and exponential functions. Generally, exponential functions grow faster than linear functions as xx becomes very large.
  3. Determine exceeding function: Determine which function will eventually exceed the other.\newlineSince g(x)g(x) is an exponential function and f(x)f(x) is a linear function, g(x)g(x) will eventually exceed f(x)f(x) as xx gets larger.

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