Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Find [tex]\( f(-1) \)[/tex] for the piece-wise function.

[tex]\[
\begin{array}{c}
f(x)=\left\{
\begin{array}{rr}
-x & \text{if } x \leq 0 \\
x & \text{if } x \ \textgreater \ 0
\end{array}
\right. \\
f(-1)=?
\end{array}
\][/tex]

Sagot :

GinnyAnswer
To find [tex]\( f(-1) \)[/tex] for the given piecewise function [tex]\( f(x) \)[/tex], we need to evaluate it based on the specified conditions in the piecewise definition:

[tex]\[ f(x) = \begin{cases} -x & \text{if } x \leq 0 \\ x & \text{if } x > 0 \end{cases} \][/tex]

Given that [tex]\( x = -1 \)[/tex]:

1. Determine which condition applies to [tex]\( x = -1 \)[/tex]. Since [tex]\( -1 \leq 0 \)[/tex], we use the first part of the piecewise function [tex]\( -x \)[/tex].

2. Substitute [tex]\( x = -1 \)[/tex] into [tex]\( -x \)[/tex]:
[tex]\[ -(-1) = 1 \][/tex]

Thus, the value of [tex]\( f(-1) \)[/tex] is:

[tex]\[ f(-1) = 1 \][/tex]

Therefore, the answer is:

[tex]\[ f(-1) = 1 \][/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.