Asked by lali

Use the table to answer the question.Term Number 12...313233Sequence for Function #135...636567Sequence for Function #21.11.21...19.19421.11423.225Consider the sequences for Function #1 (f(x)=2x+1) and Function #2 (g(x)=1.1x). How do the growth rates of the two functions compare? (1 point)ResponsesInitially, Function #2 has the greater growth rate. Eventually, the growth rate of Function #1 surpasses the growth rate of Function #2.Initially, Function #2 has the greater growth rate. Eventually, the growth rate of Function #1 surpasses the growth rate of Function #2.The growth rate of Function #1 is always greater than the growth rate of Function #2. The growth rate of Function #1 is always greater than the growth rate of Function #2. Initially, Function #1 has the greater growth rate. Eventually, the growth rate of Function #2 surpasses the growth rate of Function #1.Initially, Function #1 has the greater growth rate. Eventually, the growth rate of Function #2 surpasses the growth rate of Function #1.The growth rate of Function #2 is always greater than the growth rate of Function #1.

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Answered by GPT-5 mini AI
The growth rate of Function #1 is always greater than the growth rate of Function #2.

Reason: f(x)=2x+1 has slope 2 (adds 2 per unit), while g(x)=1.1x has slope 1.1 (adds 1.1 per unit). Since 2 > 1.1, f grows faster for all x.