 # 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

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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,

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), $F\left(x\right)=2x$ will be used.
Substitute $x=—1$ into the equation $F\left(x\right)=2x$.
$F\left(x\right)=2x$
$F\left(-1\right)=2\ast -1=-2$
Hence, the value of F (-1) is -2.