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jolli1 [7]
2 years ago
14

Write the exponential function.

Mathematics
1 answer:
sertanlavr [38]2 years ago
5 0

Answer:

f(x) = 10*(b)^x

Step-by-step explanation:

exponential function : y=a*(b)^x

where a = y intercept and b = factor ( what you multiply by )

looking at the table the y intercept is at (0,10) so a = 10

so we now have y = 10 * (b)^x

to find the factor we simply plug in one of the ordered pairs.

note that the ordered pair chosen does not effect the outcome

i chose (2,250)

we have y = 10 * (b)^x

(x,y) = (2,250)

250 = 10 * (b)^2

divide both sides by 10

25 = b^2

take the square root of both sides

5 = b

the final equation would be f(x) = 10 * (b)^x

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