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rusak2 [61]
3 years ago
11

The graph of an exponential function has a y-intercept of 4 and contains the point (3,500). Construct the exponential function t

hat describes the graph.
Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

Answer:

The "formula" for an exponential function is f(x) = a * bˣ where a is the initial value / y-intercept. Therefore, a = 4 so f(x) = 4 * bˣ. To solve for b, we can plug in the values x = 3 and f(x) = 500 which becomes:

500 = 4 * b³

125 = b³

b = 5 so the answer is f(x) = 4 · 5ˣ.

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