What is the value of the following function when [tex]x=0[/tex]?
[tex]y=-5[/tex]
[tex]y=-2[/tex]
[tex]y=-1[/tex]
Answer (1)
The value of the function y = − 5 when x = 0 is − 5 .
The value of the function y = − 2 when x = 0 is − 2 .
The value of the function y = − 1 when x = 0 is − 1 .
The values of the functions are − 5 , − 2 , − 1 .
Explanation
Understanding the Problem We are given three constant functions: y = − 5 , y = − 2 , and y = − 1 . We want to find the value of each function when x = 0 . Since these are constant functions, their value does not depend on x . Therefore, the value of each function is simply the constant value it takes.
Finding the Value of y = -5 For the function y = − 5 , the value when x = 0 is − 5 .
Finding the Value of y = -2 For the function y = − 2 , the value when x = 0 is − 2 .
Finding the Value of y = -1 For the function y = − 1 , the value when x = 0 is − 1 .
Examples
Constant functions are useful in many real-life scenarios. For example, if a store sells a product at a fixed price of 5 , re g a r d l esso f h o w man y i t e m syo u b u y , t h e p r i cec anb ere p rese n t e d b y t h eco n s t an t f u n c t i o n y=5 . S imi l a r l y , i f a t h er m os t a t i sse tt o main t aina co n s t an tt e m p er a t u reo f 20 d e g rees C e l s i u s , t hi sc anb ere p rese n t e d b y t h eco n s t an t f u n c t i o n y=20$. Understanding constant functions helps in modeling situations where a value remains unchanged irrespective of the input.
