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zhuklara [117]
3 years ago
6

What is the average rate of change of y with respect to x over the interval [-3, 4] for the function y = 2x + 2

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0

Answer:

y = 2x + 10

Step-by-step explanation:

y1 = 4

x1 = -3

slope,m = 2

y - y1 = m(x - x1)

y - 4 = 2(x + 3)

y - 4 = 2x + 6

y = 2x + 10

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Please sketch graph of the function f(x) = |x+2|.
Burka [1]

Answer:

The absolute value can be graphed using the points around the vertex (-2, 0), (-4, 2), (-3, 1), (-1, 1), (0, 2).

Step-by-step explanation:

The find the x coordinate of the vertex, set the inside of the absolute value x + 2 equal to 0. In this case, x + 2 = 0.

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The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

For each x value, there is on y value. Select few z values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.

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Substitute the x value -3 into f(x) = |x+2|. In this case, the point is (-3,1).

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Substitute the x value 0 into f(x) = |x+2|. In this case, the point is (0,2).

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You can find the graph in the attachment.

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Step-by-step explanation:

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