The diagram shows the solid glass case for a clock. The case is a cuboid with a cylinder
1 answer:
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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:
Tacoma's population in 2014 will be 587,439 people
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by the formula
where
y is Tacoma's population in thousand
x is the number of years since 2000
r is the rate of change
a is the initial value
we have
substitute
what will Tacoma's population be in 2014?
Find the value of x
substitute the value of x
therefore
Tacoma's population in 2014 will be 587,439 people