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kari74 [83]
2 years ago
12

Y = x3 - 3x On which intervals is this function increasing?

Mathematics
1 answer:
iris [78.8K]2 years ago
5 0
The function is increasing on the intervals
  x ∈ (-∞, -1) ∪ (1, ∞)

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write an equation in slope intercept form for the line described. perpendicular to y = -1/2x + 2/3, passes through (2,3)
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Step-by-step explanation:

Hey there!

Follow the steps to get answer.

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The equation of a line passing through point (2,3) is;

(y-3)= m1(x-2).......(i).

Another equation is;

y =  \frac{ - 1}{2} x +  \frac{2}{3}

2nd equation..

Now, From equation (ii)

We have;

Comparing equation (ii) with y = mx+c.

We get;

Slope = -1/2.

For perpendicular lines,

m1 \times m2 =  - 1

m1 \times  \frac{ - 1}{2}  =  - 1

Therefore the slope is 2.

Put value of slope (m1) in equation (i). We get;

(y - 3) = 2(x - 2)

Simplify them to get equation.

(y - 3) = 2x - 4

y = 2x - 1

Therefore the required equation is y = 2x-1.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>

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Answer:

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Step-by-step explanation:


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