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

bobbie71G 2021-02-19 Answered

Need to calculate: The value of F(3) for the function F(x)={2x if x<35x if x3

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Expert Answer

Laaibah Pitt
Answered 2021-02-20 Author has 98 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(3) identify in which equation 3 will lie.
3 lies in the interval x3. Therefore, to determine the value of F (3), F(x)=5x will be used.
Substitute x=3 into the equation F(x)=5x.
F(x)=5x
F(1)=5(3)=15
Hence, the value of F(3) is -15.

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