QUESTION IMAGE
Question
complete the table for the function $y = 5^{x}$.
| $x$ | $y$ | ---- | ---- | -1 | 0 | 1 | 2 | now, graph the function.plot two points to graph the function. |
Step1: Calculate y for x=-1
Use negative exponent rule: $y=5^{-1}=\frac{1}{5}=0.2$
Step2: Calculate y for x=0
Use zero exponent rule: $y=5^{0}=1$
Step3: Calculate y for x=1
Evaluate the power: $y=5^{1}=5$
Step4: Calculate y for x=2
Evaluate the power: $y=5^{2}=25$
Step5: Identify plot points
Choose two valid points from the table, e.g., $(0,1)$ and $(1,5)$.
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Completed Table:
| x | y |
|---|---|
| 0 | 1 |
| 1 | 5 |
| 2 | 25 |
Graph Points:
Plot the points $(0, 1)$ and $(1, 5)$ on the coordinate grid, then draw a smooth curve through them to represent $y=5^x$.