For the given function, the domain is D : { x ≥ 7} and the range is R: { y ≥ 9}
<h3>
How to get the domain and range?</h3>
Here we have a square root, remember that the argument of the square root must be equal or larger than zero, so the domain is such that:
x - 7 ≥ 0.
Solving for x we get:
x ≥ 0 + 7
Then the domain is:
x ≥ 7
To get the range, we evaluate in the minimum of the domain:
f(7) = √(7 - 7) + 9 = 9
Then the range is the set of all values larger than 9, because the function is increasing.
So the range is R: y ≥ 9.
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Stationary points occur where the derivative is zero. The denominator is positive for all
, so we only need to worry about the numerator.
for all
, so we can divide through:
But
for all
, so this function has no stationary points...
I suspect there may be a typo in the question.
The formula is P=Poe^rt and after 20 years the amount will be $14134.41
For Lyla, the formula used to solve the problem is P=Poe^rt
The function is P=3000 e^0.775t
After 20 years lyla amount will be P=3000e^0.775×20=14134.41$
- The exponential function is a type of mathematical function which are helpful in finding the growth or decay of population, money, price, etc that are growing or decay exponentially.
- Exponents are used in exponential functions, as the name indicates. But take note that an exponential function does not have a constant as its base and a variable as its exponent (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
- As the name implies, exponential functions employ exponents. The base and exponent of an exponential function, however, are not a constant and a variable, respectively (if a function has a variable as the base and a constant).
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<h3>The answer is:</h3><h2>8</h2><h2 />
We know that the opposite of 8 is -8. So the opposite of -8 is 8.
You can look a number line if you are still confused!
