Question

Evaluate each piecewise function for x = -2 and x = 4.

Answer 1

h(-2) = 0

k(4) = 0

Step-by-step explanation

Given:

`p(x)=\begin{cases}{2x+5\text{ if }x<0} \\ {\placeholder{⬚}} \\ {x^2-5\text{ if }x\ge0}\end{cases}`

Desired Outcome:

1. h(-2)

2. k(4)

Evaluate p(-2)

`\begin{gathered} p(-2)=2(-2)+5 \\ p(-2)=-4+5 \\ p(-2)=1 \end{gathered}`

Evaluate p(4)

`\begin{gathered} p(4)=4^2-5 \\ p(4)=16-5 \\ p(4)=11 \end{gathered}`

Evaluate h(-2)

h(-2) = 0 since h(x) is NOT given

Evaluate k(4)

k(4) = 0 since k(x) is NOT given