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Free_Kalibri [48]
3 years ago
9

What is the average rate of change for the function f(x)=x^2+4 for the domain of -2 to 4

Mathematics
1 answer:
Neko [114]3 years ago
5 0

Answer:

  2

Step-by-step explanation:

For a quadratic function the average rate of change on an interval is the rate of change at the midpoint of the interval. The rate of change of a function is given by its derivative.

The derivative of f(x) = x^2 is f'(x) = 2x. The midpoint of the interval is (4+(-2))/2 = 1. Then the average rate of change is ...

  f'(1) = 2(1) = 2

The average rate of change of f(x) on [-2, 4] is 2.

__

<em>Alternate solution</em>

The average rate of change is the slope of the line between the end points of the interval:

  m = (y2 -y1)/(x2 -x1)

  m = (f(4) -f(-2))/(4 -(-2)) = (20 -8)/(6) = 2

The average rate of change on [-2, 4] is 2.

_____

The attached graph shows the points on the curve and a line with slope 2 between them. It also shows the various slope calculations.

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If the image of the point (-1,7) under a translation be (0,11) then the coordinates of the image of the point (1,-4) under the same translation is (2,0).

Given that the image of the point (-1, 7) under a translation is (0, 11).

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Translation basically means the displacement of a figure or a shape from one place to another. In translation figure can move upward, downward, right, left or anywhere in the coordinate system.

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Hence if the image of the point (-1,7) under a translation be (0,11) then the coordinates of the image of the point (1,-4) under the same translation is (2,0).

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2 years ago
Explanation and answer please :)
Juli2301 [7.4K]

$20,000 is between $15,000 and $49,999, so we'll use the interest rate of 6.5% (see row 3)

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3 years ago
U need to find out 3/4 divided by what = 3/24
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.16i belive is your answer
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