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Nikolay [14]
11 months ago
9

Use set of notation to write the domain and range of the function y=-3x(x+1)^2+3 shown in graph

Mathematics
1 answer:
anygoal [31]11 months ago
7 0

The domain of a function is the set of values of x in which the function can be calculated.

The range of a function is the associated values of the function respect to the domain.

You have the following function:

y=-3(x+1)^2+3

In order to determine the domain and range of the previous function, you consider that the given function is available for any value of x. Then, you have:

dom y: -∞ ≤ x ≤ ∞ : (-∞,∞)

The range of the function can be determine by noticing, on the graph, that the maximum value of the function is y=3 and also you can notice that there is no a limit for negatives values of the function. Then, you have:

ran y: -∞ ≤ y ≤ 3 : (-∞,3]

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Can someone help me with this problem? Thank you!
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Step-by-step explanation:

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A= pi*r*r=3.14*6*6

A=113.04

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tatuchka [14]

Answer:

4 1/3 cups

Step-by-step explanation:

All you have to do for this one is subtract 5 2/3 from 10, which is 4 1/3. Your equation could be 10-5 2/3=x.

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Consider the equation 2y - 4x = 12
Aleks [24]

Answer:

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I need help finding the y-intercept of these, I am no good with slope and tables. ;-;
zubka84 [21]

Answer:

1. -4

2. 6

3. -6

(i hope this is right •_•)

Step-by-step explanation:

<u>First table</u>

When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.

<u>Second table</u>

For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;

So, the formula for calculating slope is \frac{y_{2} -y_{1}}{x_{2}-x_{1}}. I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.

\frac{9-12}{-3-(-6)}

And simplify...

\frac{-3}{3}

So, your slope is -1. We can use that. We just have to count down.

If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.

<u>Third table</u>

Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.

\frac{-3-(-5)}{9-3}

\frac{2}{6}

\frac{1}{3}

Let's count down....

If x = 3, y = -5

If x = 2, y = -5 1/3

If x = 1, y = -5 2/3

If x = 0, y = -6

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6/5 would be the answer
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