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3 years ago

How do I find the range of a function?

Mathematics

2 answers:

maksim [4K]3 years ago

8 0

Answer:

Overall, the steps for algebraically finding the range of a function are:

1.Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

2.Find the domain of g(y), and this will be the range of f(x).

3.If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

Montano1993 [528]3 years ago

3 0

Answer:

Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

Find the domain of g(y), and this will be the range of f(x).

If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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3 years ago

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This season, Lisa's lacrosse team has won $\frac 23 of their home games (games played at Lisa's school), but just $\frac 25 of t

juin [17]

Answer:

Lisa's team have played 24 home games and 25 away games.

Step-by-step explanation:

Given:

Let $x$ represents games played at home.

also $y$ represent games played away.

Total number of games played = 49

∴ $x+y=49 \ \ \ \ equation \ 1$

Now according to given data:

Number of home games won = $\frac{2}{3}$

Number of away game won = $\frac{2}{5}$

Total games won =26

Hence

$\frac{2}{3}x+\frac{2}{5}y=26\\\\\frac{2\times 5}{3\times 5}x+\frac{2\times 3}{5\times 5}y=26\\\\\frac{10}{15}x+\frac{6}{15}y=26\\\\\frac{10x+6y}{15}=26\\\\10x+6y= 26\times 15\\10x+6y = 390\\2(5x+3y)=390\\5x+3y=\frac{390}{5}\\\\5x+3y=195 \ \ \ \ equation \ 2\\$

Now multiplying equation 1 by 3 we get,

$3(x+y)=3\times49\\3x+3y=147 \ \ \ \ \ equation \ 3\\$

Now Subtracting equation 2 by equation 3 we get,

$(5x+3y=195)-(3x+3y=147)\\2x=48\\x= \frac{48}{2}=24$

Substituting value of x in equation 1 we get.

$x+y=49\\24+y=49\\y=49-24=25$

Hence Lisa's team have played 24 home games and 25 away games.

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3 years ago

13 is 26 percent of what number

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We have an equation: 13/?= 26/100

Cross multiply:
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13 is 26% of 50~

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11111nata11111 [884]

Charge of Ralph:

Charge = $24 + $33 per hour

Let the time worked be = x.

For x hours, the cost = 33*x = 33x

Charge = 24 + 33x

24 + 33x = 189

33x = 189 - 24

33x = 165

x = 165/33

x = 5

The job took 5 hours.

I hope this helped

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Answer:

Chart 2.

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The figure is added below.

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How do I find the range of a function?​

How do I find the range of a function?