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ikadub [295]
3 years ago
11

Can the domain or the range repeat in a function, which one?

Mathematics
1 answer:
anygoal [31]3 years ago
8 0

We can have values repeat in the range of a function, but not in the domain. A function always has exactly one value in the range associated with a given value in the domain, but it can have multiple values in the domain associated with the same value in the range.

For example, in the equation y = x², we could say that y is a function of x (every y value except 0 has exactly 2 x values associated with it), but the equation y² = x would <em>not </em>describe y as a function of x (every <em>x value</em> except 0 would now have exactly 2 <em>y values </em>associated).

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Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = (x +11)2 + .
romanna [79]

Answer:

y = 4(x + 11)² - 484

Step-by-step explanation:

y = 4x² + 88x

factor the expression

y = 4(x² + 22x)

complete the square

y + ? = 4(x² + 22x + ?)

y + ? = 4(x² + 22x + 121)

add 4 • 121 to the left side

y + 4 • 121 = 4(x² + 22x + 121)

multiply

y + 484 = 4(x² + 22x + 121)

y + 484 = 4(x + 11)²

subtract both sides by 484

y = 4(x + 11)² - 484

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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What are the steps for etc?<br> x - 14.6 = 8.02
Crank

Answer:first add 14.6 to both side of the equation and that will give you what is x equal to

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Decide which title best describes all of the expressions in each column of the table. Place the correct title at the top of each
irga5000 [103]
For the first one is has greater then 3 terms
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2 years ago
Danella makes $13 an hour. If she makes time and half in overtime, what is her overtime rate?
dlinn [17]

Answer:

Her overtime rate would be $19.5.

Step-by-step explanation:

Half of 13 is 6.5. If you add that to the $13 she makes, it would be $19.5.

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