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

Lewis Harvey

Answered question

2020-12-13

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

Answer & Explanation

wheezym

wheezym

Skilled2020-12-14Added 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.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?