Subjects algebra

Exponential One Third 5C7A57

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1. **State the problem:** We need to graph the function $y=\left(\frac{1}{3}\right)^x$, find its y-intercept, domain, and range. 2. **Recall the formula and rules:** The function is an exponential function of the form $y=a^x$ where $a=\frac{1}{3}$. - The domain of any exponential function $a^x$ is all real numbers: $(-\infty, \infty)$. - The y-intercept is found by evaluating $y$ at $x=0$. - The range depends on the base and transformations; for $a^x$ with $0