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16 votes
16 votes
Please someone help me get the answers to these two!

Please someone help me get the answers to these two!-example-1
Please someone help me get the answers to these two!-example-1
Please someone help me get the answers to these two!-example-2
User Suraj Bahadur
by
2.6k points

1 Answer

14 votes
14 votes

Answer:

Explanation:

(-3, 411):

a*b^(-3) + d = 411 (1)

(1, 11):

a*b + d = 11 (2)

horizontal asymptote y = 6 when x -> ∞, so d = 6

so (1) becomes ab^(-3) + 6 = 411, or ab^(-3) = 405 (3)

(2) becomes ab + 6 = 11, or ab = 5 (4)

(4)/(3): b⁴ = 5/405 = 1/81 = 1/3⁴, so b = 1/3

From (4) a = 5/b = 15

Then

f(x) = 15(1/3)^x + 6

User Dany Maor
by
3.0k points