Problem 119 of 7
Sketch an exponential graph from the table x=0, y=0.5; x=1, y=1.5; x=2, y=4.5.
Hints
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recognize multiplicative pattern and plot points.
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Table must show a constant ratio over equal x-intervals.
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Solution
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1. Check ratios between outputs for equal input steps.
2. Plot table points.
3. Sketch a smooth exponential curve through the points.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Linear graph from constant differences when ratios are constant.