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12345 [234]
3 years ago
14

The graph shows a vertical translation of y =

qrt[3]{x}" alt="\sqrt[3]{x}" align="absmiddle" class="latex-formula">
What is the range of the translated function?
{y|y < 0}
{y|y ≥ 0}
{y|y is a natural number}
{y|y is a real number}

Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

  • Last option: {y|y is a real number}

Explanation:

The <em>range</em> of a real function is the set of the real numbers (values) that the function can return (the ouput of the function).

To figure out the range of a function, you first must figure out the domain.

The domain of the function   y=\sqrt[3]{x}  is all real values, since the cube root function is defined for all the real numbers.

Since this function is continuous (which the translation of the function shows graphically), and the function is defined for all negative and positive values, the range of   y=\sqrt[3]{x}  is all real numbers.

A vertical translation just slides the function vertically. Since the original function does not have either lower or upper bound, but the limits when x approaches ± ∞ are ± ∞, a translation will not modifiy the range.

Thus, <em>the range of the translated function</em> is (-∞, ∞).

That can also be written as <em>{y|y is a real number}</em>, which is read "y such that y is a real number", and is the last choice of the list.

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In math i have to find the percent cost of 6 prices but i'm not sure how to.
tresset_1 [31]
My answer got deleted for some reason, so here we go again. To convert a number to a percent, you multiply the number by 100. So if you had the number 2.4, you would multiply it by 100 to get 240%. After multiplying it by 100, simply add a percent sign, and you're done! 
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3 years ago
Amy bought a bag of chips for 0.75, a sandwhich for 5.50, a bottle of water for 1.60. How much does amy have left from 10.
ch4aika [34]

Answer:

Amy would have 2.15 left

Step-by-step explanation:

To find out how much she has left, subtract the cost of the items from 10.

10 - 0.75 - 5.50 - 1.60 = 2.15

8 0
3 years ago
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den301095 [7]

Answer:

Option (A)

Step-by-step explanation:

There are 2 main branches of statistics. They are:

1. Descriptive Statistics

2. Inferential Statistics

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<u />

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or

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5 0
4 years ago
Janice used a 16-inch dowel and a 21-inch dowel to build a kite what is the perimeter of her kite
marusya05 [52]
16x2=32
21x2=42
32+42=54

the perimeter is 54
6 0
3 years ago
A car travels 250 km east, then turns 25° south of east and goes 115 km. What is the resultant distance traveled?
Firlakuza [10]

Answer:

The distance traveled is 357.54km.

Step-by-step explanation:

The situation is illustrated in the figure attached.

From the law of cosines the distance d is given by

d^2 = (250km)^2+(115km)^2-2(250km)(115km)cos(155^o)

d^2 = 127837.698 km^2

\boxed{d = 357.54km}

4 0
3 years ago
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