1. The problem involves graphing the functions $y=4^x$ and $y=5^x$ on the same coordinate plane. 2. The general form of an exponential function is $y=a^x$ where $a>0$ and $a \neq 1$. 3. Important properties of exponential functions: - The graph passes through the point $(0,1)$ because $a^0=1$. - The function is increasing if $a>1$. - The function approaches the x-axis but never touches it (asymptote at $y=0$). 4. For $y=4^x$ and $y=5^x$, both are increasing exponential functions with bases greater than 1. 5. At $x=0$, both functions equal 1. 6. For positive $x$, $5^x$ grows faster than $4^x$. 7. For negative $x$, both approach 0 but $5^x$ approaches 0 faster. Final answer: The graphs of $y=4^x$ and $y=5^x$ are both increasing exponential curves passing through $(0,1)$, with $y=5^x$ growing faster than $y=4^x$ as $x$ increases.