i know the domain is (-3 , infinity)
y = ln(x+3)
i thought it was [-4, infinity) but i checked on a calculator and it goes passed -4. And i cannot use a calculator
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i know the domain is (-3 , infinity)
y = ln(x+3)
i thought it was [-4, infinity) but i checked on a calculator and it goes passed -4. And i cannot use a calculator
The range of a function is the set of numbers the function can achieve. The natural log has a range. However, its domain is
. The domain is the set of numbers for which the function is defined. Natural log can take numbers from
. So we just need to check when
.
What is the range of?
An easy way to remember the range of the natural log is to recall that
.
its (-inf, inf) so all real numbers?
Yep!
It may be helpful to remember from now on that the domain of the basic f(x) = ln x is (0, ∞) and that the range is (-∞, ∞). In my textbook it's considered one of the twelve basic functions.