Well 2.5 + 2.5 is 5 so 5 - 2.5 is 2.5
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
Answer:
<em>159 feet of fabric</em>
Step-by-step explanation
We are told that 1 curtain is 36inches long
Since 1 foot = 12inches
x foot = 36inches
Cross multiply;
12 * x = 36
12x = 36
x = 36/12
x = 3
Hence 36inches is same as 3 feet
If Charlotte's curtain company wants to make 53 curtains, the length of 53 curtain is expressed as;
1 curtain = 3feet
53 curtain = y
y = 53 *3
<em>y = 159 feet</em>
<em>Hence she will need 159 feet of fabric</em>
<em> </em>