Using function concepts, it is found that:
- a) The y-intercept is y = 2.5.
- b) The horizontal asymptote is x = 3.
- c) The function is decreasing.
- d) The domain is
and the range is
. - e) The graph is given at the end of the answer.
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The given function is:

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Question a:
The y-intercept is g(0), thus:

The y-intercept is y = 2.5.
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Question b:
The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

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Thus, the horizontal asymptote is x = 3.
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Question c:
The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.
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Question d:
- Exponential function has no restrictions in the domain, so it is all real values, that is
. - From the limits in item c, the range is:

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The sketching of the graph is given appended at the end of this answer.
A similar problem is given at brainly.com/question/16533631
-12+3b-1=-5-b
Combine like terms to get:
3b-13=-5-b
Add 13 to both sides:
3b= 8-b
Add b to both sides:
4b=8
Divide both sides by 4:
4b/4=8/4
b=2
Final answer
b=2
Answer:
Step-by-step explanation:
case 1
cost of 20oz bottle of soda = $1.20
dividing both side by 20
cost of 20/20 oz bottle of soda = $1.20/20
cost of 1oz bottle of soda = $0.06
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Case 2
cost of 12oz bottle of soda = $0.85
dividing both side by 12
cost of 20/20 oz bottle of soda = $0.85/12
cost of 1oz bottle of soda = $0.07
Based on above calculation, we can see that first deal 20oz bottle of soda at costs $1.20 is better deal as per unit cost is $0.06 which is less than 12 oz can of soda costs $0.85 which is equivalent to $0.07 per unit cost
Answer:
At least 68% of observations lie between 22 and 26 months.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 24
Standard deviation = 2
22 = 24 - 2
22 is one standard deviation below the mean
26 = 24 + 2
26 is one standard deviation above the mean.
So, by the empirical rule, at least 68% of observations lie between 22 and 26 months.
Answer:
Step-by-step explanation:
Sidney Crosby, Pittsburgh Penguins