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Black_prince [1.1K]
2 years ago
9

The function y = f(x) is graphed below. What is the average rate of change of the

Mathematics
1 answer:
stepladder [879]2 years ago
7 0

Answer:

Average rate of change = 1

Step-by-step explanation:

Average rate of change of a function between x = a and x = b is defined by,

Average rate of change = \frac{f(b)-f(a)}{b-a}

We have to find the average rate of change of the function in the interval 2 ≤ x ≤ 4

Therefore, average rate of change of the function = \frac{f(4) - f(2)}{4-2}

From the graph attached,

f(4) = 4

f(2) = 2

Average rate of change = \frac{4-2}{4-2}

                                        = 1

Therefore, average rate of change of the function in the given interval is 1.

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Answer:

The required formula is:

                                                          {\displaystyle \ a_{n}=a_{1}+(n-1)d}

Step-by-step explanation:

The total number of squares of the the first term = 4

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If the initial term of an arithmetic progression is {\displaystyle a_{1}} and the common difference of successive members is d, then the nth term of the sequence (a_n) is given by:

                         {\displaystyle \ a_{n}=a_{1}+(n-1)d}

Therefore, the required formula is:

                                                          {\displaystyle \ a_{n}=a_{1}+(n-1)d}

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