Problem 48 of 7
Construct an exponential function from graph points 0, 12; 1, 18; 2, 27.
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identify initial value and multiplicative factor.
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Graph points must show an unshifted exponential pattern with visible initial value.
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Solution
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1. Read the y-intercept as the initial value.
2. Find the multiplicative factor between equal x-steps.
3. Write f(x)=a(b)^x.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Additive models from first differences.