Identify the y intercept and asymtote for the exponential function f(x)=3^x+2

1 answer:

5 0

Y-intercept occurs at x = 0.
y = 1 + 2 = 3

$f(x) = 3^{x} + 2$
$\text{Asymptote: } \lim_{x \to \infty} 3^{x} + 2$
$= 2$

Thus, there is a horizontal asymptote at x = 2.

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While traveling to his grandma for his George fell asleep a fifth of the way through the journey when he awoke he still had to t

jeyben [28]

Answer:

<u>George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

George fell asleep a fifth of the way

He awoke up when he still had to travel a quarter of the distance that he had traveled while sleeping

2. For what part of the journey had he been asleep?

George fell asleep a fifth of the way: 1/5 of the total distance traveled and 4/5 of the distance away from his grandma

When he awoke up = 1/4 * 4/5 = 1/5

He had been asleep = 5/5 - 1/5 -1/5 = 3/5

<u>It means George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma</u>

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The sum of two #'s is 29. The sum of the smaller and 2 times the larger is 45. Find the #'s.

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