The pig pen: Suppose that a rectangle pig pen is 4 feet longer than it is wide and its area is more than 32 square feet. The question is the dimension of the pen.

Question

3. Sketch the graph of the function 𝑦 = 𝑥 2 + 4𝑥 − 32 and shade the 𝑥 −values that satisfy the inequality: 𝑥 2 + 4𝑥 − 32 > 0.

Answer 1

The pig pen:

L=W+4

32=LW=W(W+4) => W² + 4W - 32 =0

(W-4)(W+8)=0

The 8 is an extraneous root and W=4.

You finish it from here.