Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
The absolute value function is given below as
[tex]f(x)=|x+2|[/tex]Concept: We will have to explain what is meant by an odd function, even function, or neither
Even function: A function is said to be even if it has the equality below
[tex]f(x)=f(-x)[/tex]is true for all x from the domain of definition.
An even function will provide an identical image for opposite values.
Odd function:A function is odd if it has the equality below
[tex]f(x)=-f(-x)[/tex]is true for all x from the domain of definition.
An odd function will provide an opposite image for opposite values.
Neither: A function is neither odd nor even if neither of the above two qualities is true, that is to say:
[tex]\begin{gathered} f(x)\ne f(-x) \\ f(x)\ne-f(-x) \end{gathered}[/tex]Given that
[tex]\begin{gathered} f(x)=|x+2| \\ f(-x)=|-x+2| \\ f(x)\ne f(-x) \end{gathered}[/tex]Also,
[tex]\begin{gathered} f(x)=|x+2| \\ -f(-x)=-|-x+2| \\ f(x)\ne-f(-x) \end{gathered}[/tex]Therefore,
We can conclude that f(x) = |x+2| is NEITHER an even nor a odd function
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.
