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Anastasy [175]
3 years ago
11

Write the domain and the range of the function as an inequality, using set notations, and using interval notation. Also describe

the end behavior of the function or explain why there is no end behavior (19 points and brainliest)

Mathematics
2 answers:
matrenka [14]3 years ago
8 0

Answer:

Step-by-step explanation:

The end behavior notation is at (4,3)

katrin2010 [14]3 years ago
4 0

Answer:

Step-by-step explanation:

I think we need to define domain and range first.

Domain is the set of all x values where the function f(x) exists or is defined.

Range is the set of all y values that will result from substituting all x values (the domain) into the function.

So for g(x) = 2x - 2 we can evaluate g(x) at any point, and we will get a real answer for y.

So the range of g(x) = 2x -2 is also all real numbers, because no matter what value of x is, we can always multiply that number by 2 and subtract 2.

The inequality does not affect the domain and range of linear functions at all. Don't confuse domain and range with a solution to an inequality. These two concepts are different. Domain and range mean all possible values of x and y that could be substituted into the inequality. A solution means all possible values that make the inequality statement true.

The domain as an inequality would be -∞ < x < ∞

The range as an inequality would be -∞ < y < ∞

As a set notation:

Domain {x | -∞ < x < ∞}

Range {y | -∞ < x < ∞}

In interval notation:

Domain (-∞ , ∞)

Range (-∞ , ∞)

End behavior:

As x gets larger and larger, g(x) gets larger and larger as well, and as x gets smaller, g(x) gets smaller too.

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3 years ago
mitzi has a rectangular swimming pool. she fills it with water to a depth of 5 feet. the water has a volume of 1200 cubic feet.
ANTONII [103]
To figure out the size of a rectangle that would represent the swimming pool, you will use the formula for volume of a rectangle or prism to solve for the area of the base.

V = Bh
1200 = 5B
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2 years ago
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How do we get .375 into a percent
inessss [21]
You turn it into a percent by multiplying by 100 because a percent means out of a hundred so that's how you do it.  You just multiply the decimal by 100.
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3 years ago
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The average summer temperature in Anchorage is 69°F. If the daily temperature is normally distributed with a standard deviation
mafiozo [28]

Answer:

81.85%

Step-by-step explanation:

Given :

The average summer temperature in Anchorage is 69°F.

The daily temperature is normally distributed with a standard deviation of 7°F .

To Find:What percentage of the time would the temperature be between 55°F and 76°F?

Solution:

Mean = \mu = 69

Standard deviation = \sigma = 7

Formula : z=\frac{x-\mu}{\sigma}

Now At x = 55

z=\frac{55-69}{7}

z=-2

At x = 76

z=\frac{76-69}{7}

z=1

Now to find P(55<z<76)

P(2<z<-1)=P(z<2)-P(z>-1)

Using z table :

P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185

Now percentage of the time would the temperature be between 55°F and 76°F = 0.8185 \times 100 = 81.85\%

Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.

7 0
3 years ago
PLEASE HELP!!! Given the functions, f(x) = 6x + 2 and g(x) = x - 7, perform the indicated operation. When applicable, state the
Brums [2.3K]

Answer:

The domain restriction for (f/g)(x) is x=7

Step-by-step explanation:

we have

f(x)=6x+2

g(x)=x-7

so

(f/g)(x)=\frac{6x+2}{x-7}

Remember that

the denominator can not be equal to zero

so

Find the domain restriction

x-7=0

x=7

therefore

The domain is all real numbers except the number 7

(-∞,7)∪(7,∞)

4 0
3 years ago
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