Subjects algebra

Graph Horizontal Exponential 720A1A

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1. The problem is to graph the functions $y=5$ and $y=1.06^t$. 2. The function $y=5$ is a horizontal line where the value of $y$ is always 5 regardless of $t$. 3. The function $y=1.06^t$ is an exponential growth function where the base is 1.06 and the exponent is $t$. 4. To graph $y=5$, plot a horizontal line crossing the $y$-axis at 5. 5. To graph $y=1.06^t$, plot points for various values of $t$ and connect them smoothly. For example: - When $t=0$, $y=1.06^0=1$ - When $t=1$, $y=1.06^1=1.06$ - When $t=2$, $y=1.06^2=1.1236$ - When $t=3$, $y=1.06^3=1.1910$ 6. The exponential curve starts at 1 when $t=0$ and increases slowly as $t$ increases. Final answer: The graph consists of a horizontal line at $y=5$ and an exponential curve $y=1.06^t$ starting at 1 and increasing gradually.