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lys-0071 [83]
3 years ago
11

Basic functions sample work! Help please

Mathematics
1 answer:
frosja888 [35]3 years ago
3 0

Answer:

  See the attachment.

Step-by-step explanation:

Function notation: This means the description of the curve is written in the form ...

  f(x) = <an expression that describes the curve in terms of independent variable x>

The name of the function does not have to be "f", though f, g, h are traditional for generic functions. In specific cases, the function name might be related to the value the function delivers: <em>cost(n)</em> might be the function that tells you the cost of producing n items, for example.

The functions shown (square root, reciprocal) should be shapes you have memorized. You can check the scale factor at specific values you know, for example, √4 = 2, or 1/1 = 1. Hence both functions have a scale factor of 1 (no scaling).

___

The domain is the horizontal region where the function is defined. Square root is not defined for negative numbers; reciprocal is not defined for 0. Hence the descriptions of the respective domains must exclude these values.

___

The range is the vertical extent of the values each function produces. The domain and range are the same for both functions shown here.

___

Asymptotes are lines the function approaches but does not reach. The square root function has no such lines. (It reaches vertical at x=0.)

The reciprocal function has a vertical asymptote as x=0 (the value of x that makes the function denominator zero). And, it has a horizontal asymptote at y=0, a value that can be approached, but not reached, as x gets large in either the positive or negative directions.

___

End behavior: The square root function heads off toward (∞, ∞). The reciprocal function heads toward the value defined by the horizontal asymptote: y=0 as x gets large in magnitude.

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Compare the dotplot to a histogram of the data. (Select all that apply.)
Aleks04 [339]

Answer:

(B) The raw data can be retrieved from the dot plot, but not the histogram.

(C) Dot plots show the frequency of individual data values.

Step-by-step explanation:

There are two correct answers:

(B) The raw data can be retrieved from the dot plot, but not the histogram.

(C) Dot plots show the frequency of individual data values.

Dot plots are used for small data sets where values fall into a number of categories, unlike histograms.

8 0
3 years ago
Help me I dunno know.
k0ka [10]

There is a rule:

One input(x-value) can only have one output(y-value) in order to be a function.

If one input has more than one output, it is not a function.

(This doesn't apply to outputs, one output can have more than one input and still be a function)

The 1st option is not a function because the inputs 9 and 10 have more than one output.

The 2nd option is not a function because the input 3 has more than one output.

The 3rd option is a function because each input only has one output.

The 4th option is not a function because the input 5 has more than one output.

4 0
3 years ago
According to the World Health Organization (WHO) Child Growth Standards, the head circumference for boys at birth is normally di
Elena L [17]

Answer:

z = \frac{X -\mu}{\sigma}

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

z= \frac{33.2-34.5}{1.3}= -1

And for the case of Sue we got:

z = \frac{32.7-33.9}{1.2}= -1

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

X\sim N(\mu = 34.5, \sigma=1.3)

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

Y\sim N(\mu = 33.9, \sigma=1.2)

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

z = \frac{X -\mu}{\sigma}

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

z= \frac{33.2-34.5}{1.3}= -1

And for the case of Sue we got:

z = \frac{32.7-33.9}{1.2}= -1

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

5 0
3 years ago
jorge, the shipping manager at Durable Products, writes a memo proposing that that they stop using RoadHog Trucking Company and
goblinko [34]

Answer:

If it is causing other accounts to grow also that means that they would be in competition.

Step-by-step explanation:

7 0
3 years ago
When g(x) = 3x, what is g(5)?
tamaranim1 [39]

Answer:

g(5) = 15

Explanation:

If the x in g(x) is 5 then the x beside 3 would also be 5.

g(5) = 3(5)

g(5) = 15

Hope this helps, good luck!

3 0
2 years ago
Read 2 more answers
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