What is the value of f(1)?

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Question:

What is the value of f(1)?

Answer:

The function f (1) has the value between the second interval of [1,2]. The value of the function, is 1, as,

What is step function?

Step function is represent in the steps of linear equation over the graph. Step function keeps the constant values at the difference places.

Given information-

The step function are graphed in the given problem.

Keep the values of variable x to find the value of at difference places.

The value of has to be find out.

The middle (third) interval [0,2], is closed at 0 but open at 2. Therefore when the value of x is between the 0 and 1.9999…, the value of function is 0.

Thus the function of the middle step is,

For the second interval, [1,2], function is closed at 1 but open at 2. Therefore when the value x is between the 1 and 1.999... , the value of function is -1,

Thus the function of the second step is,

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Thus the value of the function, is 1, as,

Learn more about the step function here;

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