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Andrew [12]
3 years ago
7

The function f(x) is graphed below. In two or more complete sentences, describe how to find the interval(s) where the function i

s decreasing and how interval notation is used to express the interval(s). In your final answer, include the interval in which the function is decreasing.
Mathematics
1 answer:
disa [49]3 years ago
4 0

Answer:

The way that I learn is that say you have a car going from the left to the right. Wherever the car goes down is where it decreases. You use the x values. Therefore you start just after -5 and you end at 0. Therefore the answer would be that the function is decreasing at (-5,0] .

please add gaphs for next time

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What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the r
boyakko [2]

Answer:

The coordinates of the point X:

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Step-by-step explanation:

Let X be the point.

As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

\left(x_1,\:y_1\right)\:=\:\left(-2,-8\right)

\left(x_2,\:y_2\right)=\left(5,-1\right)

Rise = y₂ - y₁

       = -1 - (-8)

       = -1 + 8

       = 7

Run = x₂ - x₁

      = 5 - (-2)

      = 5 + 2

      = 7

1 : 6 ratio means the point X lies at

\frac{1}{6+1}=\frac{1}{7}=14\%

Thus,

rise for X =\:7\:\times \:14\%=1

run for X =\:7\:\times \:14\%=1

Thus, coordinates of X will be:

x = -2 + 1 = -1

y = -8 + 1 = -7

Therefore, we conclude that:

The coordinates of the point X:

  • (x, y) = (-1, -7)
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Step-by-step explanation:

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