Joe kept track of how much TV she watched each day for two weeks how many hours did she spend watching TV
1 answer:
The total hours joe spent watching TV each day for two weeks is 12 1/2 hours
<h3>Total hours spent watching TV</h3>Total hours spent watching TV for two weeks = Number of hours × days
= (0 × 1) + (1/4 × 1) + (1/2 × 1) + (3/4 × 3) + (1 × 3) + (1 1/4 × 4) + (1 1/2 × 1)
= 0 + 1/4 + 1/2 + 9/4 + 3 + 5 + 3/2
= 8 + (1+2+9+6) / 4
= 8 + 18/4
= 8 + 4 2/4
= 8 + 4 1/2
= 12 1/2 hours
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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.
------------------------------------
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
