Question

For what value or p will the function be continuous . Btw it’s number 5 not 6

Answer 1

Looking at the piecewise function, what will make p continuous is the value of x common to both, looking at it, from the range of values

and

`\begin{gathered} -3x+p \\ -3(-1)+p \\ 3+p \end{gathered}`

equating we have

`\begin{gathered} -4=3+p \\ -4-3=p \\ -7=p \\ p=-7 \end{gathered}`

Hence the answer is -7