Write the equation of the line in slope-intercept form Slope=5/3 Y-Intercept=4
2 answers:
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Answer:
Step-by-step explanation:
Find the expression to represent how much you would expect a cub to weigh days after it's born as exponential growth function
where
is the initial panda's weight and
is the rate of growth.
A newborn red panda weighs 100 grams, then
A healthy cub gains about 7% of its newborn weight per day, then
Hence,
Two main facts are needed here:
1. The logarithm , regardless of the base of the logarithm, exists for
.
2. The square root exists for
.
(in both cases we're assuming real-valued functions only)
By (2) we know that exists if
, or
.
By (1), we know that exists if
, or
. But as long as the square root exists, it will always be positive, so this condition will always be met.
Ultimately, then, we only require , so the function has domain
.
To determine the range, we need to know that, in their respective domains, and
increase monotonically without bound. We also know that
at minimum, at which point the square root term vanishes, so the least value the function takes on is
. Then its range would be
.