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Find the equation for the graph sketched below:

Find the equation for the graph sketched below:-example-1

1 Answer

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Answer:

f(x) = -3(1/3)ˣ + 5

Explanation:

This is a graph of the function y = a(b)ˣ + k

y intercept is (0, 2)

horizontal asymptote = k = 5

y = a(b)ˣ + 5

Find a: use (0, 2)

2 = a(b)⁰ + 5

a = 2 - 5 = -3

Now find b: use (1, 4) or, any point on the line

4 = -3(b)¹ + 5

-3b = 4 - 5 = -1

b = -1/-3 = 1/3

Therefore, f(x) = -3(1/3)ˣ + 5

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