Need to calculate:The value of G(-10) for the function G(x)=begin{cases}x-5 if x leq -1x if succ 1 end{cases}

sibuzwaW 2020-12-01 Answered
Need to calculate:The value of G(-10) for the function G(x)={x5  if x1x if 1
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Expert Answer

Nicole Conner
Answered 2020-12-02 Author has 97 answers

Formula used:
Some functions are defined by different equations for various parts for their domains. Those functions are called piecewise-defined functions.
To solve the piecewise-defined function for an input, we will determine that which part of the domain it belongs to and use the appropriate formula for that part of the domain.
Calculation:
Consider the provided function,
G(x)={x5  if x1x if 1
The function provided is defined in multiple equations.
Therefore, to determine G(10) identifyin which equation 10 will lie.
10 lies in the interval x1. Therefore, to determine the value of G(10), G(x)=x5 will be used.
Substitute x=10 into the equation G(x)=x5.
G(x)=x5
G(10)=105=15
Hence, the value of G(10) is -15.

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