Analyze the asymptotes of the function.
1 answer:
Answer:
vertical asymptote at x=-1
horizontal asymptote at y=0
Step-by-step explanation:
To find vertical asymptote we set the denominator =0 and solve for x
x+1=0 (subtract 1 from both sides)
x=-1
So, vertical asymptote at x=-1
To find horizontal asymptote we look at the degree of both numerator and denominator
there is no variable at the numerator , so degree of numerator =0
degree of denominator =1
When the degree of numerator is less than the degree of denominator
then horizontal asymptote at y=0
You might be interested in
Answer:
B
Step-by-step explanation:
The exponential function has the form where a is the starting value or y-intercept. B is the rate of change and x is the variable typically time. In this situation,
has starting value 4, rate 3 and a -x.
Normally an exponential curve glides left to right growing steeper as it goes. But a -x flips this behavior. The curve starts very steep then gradually slows down. This means only graphs B or D are options. Since only graph B of these two has a y-intercept at 4, graph B is the solution.