Question

need help with piecewise function. i am not sure how to start this.

Answer 1

\[f(x)= x^2 +bx, x \le5\]
\[5 \sin (\pi/2)x, x \gt5\]
find b

Answer 2

you're trying to find a point the makes the piecewise continuous?

Answer 3

f is continuous i forgot to say that

Answer 4

\(\large \begin{array}{llll}
f(x)\\
\textit{continuous}
\end{array}\implies
\begin{cases}
x^2+bx&x\le 5\\ \quad \\
5sin\left(\frac{\pi}{2}x\right)&x>5
\end{cases}\quad ?\)

Answer 5

yes

Answer 6

so the graph is more or less say, a parabola before 5, and a sine after 5 like ->