Brayden and Aubrey are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Brayde
n is 280 miles away from the stadium and Aubrey is 340 miles away from the stadium. Brayden is driving along the highway at a speed of 30 miles per hour and Aubrey is driving at speed of 40 miles per hour. Let
B
B represent Brayden's distance, in miles, away from the stadium
t
t hours after noon. Let
A
A represent Aubrey's distance, in miles, away from the stadium
t
t hours after noon. Graph each function and determine the number hours after noon,
t
,
t, when Brayden and Aubrey are the same distance from the stadium.
B
B represent Brayden's distance, in miles, away from the stadium
t
t hours after noon. Let
A
A represent Aubrey's distance, in miles, away from the stadium
t
t hours after noon. Graph each function and determine the number hours after noon,
t
,
t, when Brayden and Aubrey are the same distance from the stadium.
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) ⇒ ∞
