Which of the following exponential functions is an increasing function?
Choose the correct answer below.

Ask by Park Clark. in the United States

Mar 26,2025

Question

Which of the following exponential functions is an increasing function?
Choose the correct answer below.

Ask by Park Clark. in the United States

Mar 26,2025

UpStudy AI · Accepted Answer

1. An exponential function $$ f(x)=a^x $$ is increasing if the base $$ a > 1 $$. 2. Analyze each function: - For $$ f(x)=\left(\frac{3}{4}\right)^x $$, we have $$ \frac{3}{4} < 1 $$, so this function is decreasing. - For $$ f(x)=\left(\frac{5}{3}\right)^x $$, we have $$ \frac{5}{3} > 1 $$, so this function is increasing. - For $$ f(x)=0.8^{x} $$, note that $$ 0.8 < 1 $$ (since $$0.8 = \frac{4}{5}$$), so this function is decreasing. 3. Therefore, the increasing function is $$ f(x)=\left(\frac{5}{3}\right)^x $$. The increasing function is $$ f(x)=\left(\frac{5}{3}\right)^x $$.

Which of the following exponential functions is an increasing function?
Choose the correct answer below.

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Which of the following exponential functions is an increasing function? Choose the correct answer below.

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Which of the following exponential functions is an increasing function?
Choose the correct answer below.