Which of these is an
exponential function?

Ask by Barker Wade. in the United States

Jan 24,2025

Question

Which of these is an exponential function? $$ y=\left(\frac{6}{5}\right)^{x} \quad y=\frac{4 x}{11} $$

UpStudy AI · Accepted Answer

An **exponential function** is one where the variable $$ x $$ appears in the exponent, typically in the form $$ y = a^x $$, where $$ a $$ is a constant base.

Let's examine the given functions:

1. **$$ y = \left(\frac{6}{5}\right)^{x} $$**
   - Here, $$ x $$ is in the exponent.
   - This fits the standard form of an exponential function.

2. **$$ y = \frac{4x}{11} $$**
   - This is a linear function because $$ x $$ is not in the exponent but is instead multiplied by a constant.

**Conclusion:**  
$$ y = \left(\frac{6}{5}\right)^{x} $$ is an exponential function.

**Answer:**  
Only $$ y = \left(\dfrac{6}{5}\right)^{\,x} $$ is an exponential function.
$$ y = \left(\frac{6}{5}\right)^{x} $$ is an exponential function.

Which of these is an
exponential function?

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