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andrew-mc [135]
3 years ago
12

Graph the function. Then use your graph to find the indicated limit. f(x) = |3x|, limx→−2 ∞

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0

Answer:

The limit of the function as x approaches -2 is 6.

Step-by-step explanation:

The first step is to graph the function using a graphing utility and later determine the limit from the graph.

The graph of the function is shown in the attachment below.

The limit of the function as x approaches -2 is 6, as indicated on the graph

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The domain of the function f(x) = 3x3 is {2, 5}. what is the function’s range?
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2 years ago
The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. A
Montano1993 [528]

Answer: (14.4, 17.2)

Step-by-step explanation: We are to construct a 98% confidence interval for mean household usage of electricity.

We have been given that

Sample size (n) = 872

Sample mean (x) = 15.8

Population standard deviation (σ) = 1.8

The formulae that defines the 98% confidence interval for mean is given below as

u = x + Zα/2 × σ/√n...... For the upper limit

u = x - Zα/2 × σ/√n...... For the lower limit

Zα/2 = critical value for a 2% level of significance in a two tailed test = 2.33

By substituting the parameters we have that

For upper tailed

u = 15.8 + 2.33 × (1.8/√872)

u = 15.8 + 2.33 (0.6096)

u = 15.8 + 1.4203

u = 17.2

For lower tailed

u = 15.8 - 2.33 × (1.8/√872)

u = 15.8 - 2.33 (0.6096)

u = 15.8 - 1.4203

u = 14.4

Hence the 98% confidence interval for population mean usage of electricity is (14.4kwh, 17.2kwh)

4 0
3 years ago
Which expression is NOT equivalent to 12⋅−3 2/3?<br><br> Drag this expression to the box.
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The third option would be the incorrect one
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