Question

Can someone help?Express the function graphed on the axes below as a piecewise function.​

Answer 1

Answer:

$\displaystyle f(x) = \begin{cases} x+3 & \text{if -5$

Step-by-step explanation:

Observing the graph, we see two functions:

$f(x)=x+3$ but x<0 and x>-5

$f(x)=-\frac{1}{2}x-1$ but x>0 and x≤6

Because the domain is restricted for both functions and there's a jump discontinuity at x=0, this is a piecewise function. This is how it would be notated:

$\displaystyle f(x) = \begin{cases} x+3 & \text{if -5$