In the beginning, when s(x) = -1, the right interval should be 0 0 \le x \le 5, right?
Amresh Jhunjhunwala says:
Can u pls provide an equation in terms of x & s(x)?
Daniel says:
An equation for what? You need a function s(x) and you can’t define a step function that takes different values at different intervals in terms of only a single “equation”, if that’s what you are asking for.
Will says:
s(x) = 5[(5 – x)/4] + 3[(4 – x)/4]
Anonymous says:
At: -1 if -2 <= x <= 5 then -2 should be 2.
Anonymous says:
Plz can u provide graph forms
Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment): Cancel reply
such that![\[ \int_0^2 s(x) \, dx = 5, \qquad \text{and} \qquad \int_0^5 s(x) \, dx = 2. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-70633025eaddb3953e82963f78d1c82a_l3.png "Rendered by QuickLaTeX.com")
![\[ s(x) = \begin{cases} \phantom{-}\frac{5}{2} & \text{if } 0 \leq x < 2, \\ -1 & \text{if } -2 \leq x \leq 5. \end{cases} \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-199dcf74bcc91898e39b49ae32af0911_l3.png "Rendered by QuickLaTeX.com")
In the beginning, when s(x) = -1, the right interval should be 0 0 \le x \le 5, right?
Can u pls provide an equation in terms of x & s(x)?
An equation for what? You need a function s(x) and you can’t define a step function that takes different values at different intervals in terms of only a single “equation”, if that’s what you are asking for.
s(x) = 5[(5 – x)/4] + 3[(4 – x)/4]
At: -1 if -2 <= x <= 5 then -2 should be 2.
Plz can u provide graph forms