Analyze the diagram below and complete the instructions that follow.Find cos 45°
1 answer:
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Answer:
Step-by-step explanation:
From the picture attached,
Option A
From the given table,
Ratio of the 2nd value and 1st value =
Ratio of 3rd value and 2nd value =
There is a common ratio of 2.
Therefore, the given table will represent an exponential function.
Option B
Given recursive formula of the sequence is,
From this recursive formula sequence will be,
3, 15, 75, 375,.......
Therefore, it's an exponential function.
Option C
Given function is in the form of a linear function (y = mx + b),
Therefore, it's a linear function.
Option D
From the given table,
Difference between 2nd value to the 1st value = 8 - 4 = 4
Difference between 3rd value to the 2nd value = 12 - 8 = 4
Therefore, there is a common difference of 4 in each successive term to the previous term.
Hence, the given table represents a linear function.
Derivative Functions
The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.
Definition:
let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of x such that the following limit exists: