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guajiro [1.7K]
3 years ago
13

Give an example of a decreasing logarithmic function that has a positive y-intercept.

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer: f(x) = -ln(x + 1) + 3

Step-by-step explanation:

We want it to be decreasing, then we can write it, for a start, as:

f(x) = -ln(x)

Ok, now we want it to have a positive y intercept, then we can add a real number inside the logarithm, and other outside: such that f(0) = positive number.

f(x) = -ln(x + 1) + 3

Now, when x = 0 we have:

f(0) = -ln(1) + 3 = 0 + 3 = 3

Then we have a decreasing logarithmic function, with an y-intercept larger than zero.

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