Answer:
Domain: (-∞, ∞) or All Real Numbers
Range: (0, ∞)
Asymptote: y = 0
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
Step-by-step explanation:
The domain is talking about the x values, so where is x defined on this graph? That would be from -∞ to ∞, since the graph goes infinitely in both directions.
The range is from 0 to ∞. This where all values of y are defined.
An asymptote is where the graph cannot cross a certain point/invisible line. A y = 0, this is the case because it is infinitely approaching zero, without actually crossing. At first, I thought that x = 2 would also be an asymptote, but it is not, since it is at more of an angle, and if you graphed it further, you could see that it passes through 2.
The last two questions are somewhat easy. It is basically combining the domain and range. However, I like to label the graph the picture attached to help even more.
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
Answer:
27,400 is the current population
7% is the rate of increase
The new size is:
- 38,430 is the population if t is an exponent
- 146,590 is t is NOT an exponent in the formula you typed
Step-by-step explanation:
To find the population in a future year, use the formula:
Substitute the value t=5 to find the population in 5 years.
Or if the equation is supposed to have t as an exponent then look below:
Substitute the value t=5 to find the population in 5 years.
This formula is based off the standard formula so r, the rate is 1.07=1+0.07 so r is 7%.
is the starting population which is 27,400 here.