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MaRussiya [10]
3 years ago
15

Which is the correct equation for the graph of f(x), a transformation of the graph of g(x) = log2x? A. f(x) = -log2(x + 2) B. f(

x) = log2(x − 2) + 2 C. f(x) = -log2x + 2 D. f(x) = log2x − 2

Mathematics
1 answer:
krok68 [10]3 years ago
8 0

Answer:

B. f(x) = log2(x − 2) + 2

Step-by-step explanation:

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2 years ago
25. Michael is studying population changes in two
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Answer: Average rates of change for Bird A is 0.045 and for Bird B is 3.816.

Step-by-step explanation: Through its graph, a function can be analyzed and be identified its attributes. Average Rate of Change is the ratio of change in the function values to the change of x-value, i.e., it is the slope of the function in a specific interval of x. With the Average it is possible to compare two function.

<u>Average Rate of Change</u>

<em><u>Bird A</u></em>:

For the interval [0,18]:

x₁ = 0 f(0) = 8.3

x₂ = 18 f(18) = 9.1

Average = \frac{f(18) - f(0)}{x_{2} - x_{1} }

Average = \frac{9.1 - 8.3}{18 - 0}

Average = 0.045

<em><u>Bird B</u></em>: y = 3.6(1.06)x

For the interval [0,18]:

x₁ = 0 y = 3.6(1.06)0 = 0

x₂ = 18 y = 3.6(1.06)18 = 68.7

Average = \frac{f(18) - f(0)}{x_{2} - x_{1} }

Average = \frac{68.7 - 0}{18 - 0}

Average = 3.816

The Average Rate for Change for Bird A is 0.045 and for Bird B is 3.816. This means that the population of Bird B increase in rate faster than the population of Bird A.

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2 years ago
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