Need to calculate: The value of F(-1) for the function F(x)=begin{cases}2x if x<3 -5x if xgeq 3 end{cases}

Lewis Harvey 2020-12-13 Answered

Need to calculate: The value of F(-1) for the function F(x)={2x if x<35x if x3

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Expert Answer

wheezym
Answered 2020-12-14 Author has 103 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,
F(x)={2x if x<35x if x3
The function provided is defined in multiple equations.
Therefore, to determine F (—1) identify in which equation -1 will lie.
—1 lies in the interval x<3. Therefore, to determine the value of F (—1), F(x)=2x will be used.
Substitute x=1 into the equation F(x)=2x.
F(x)=2x
F(1)=21=2
Hence, the value of F (-1) is -2.

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