^ Challenge Graph each function. Include a dashed line for each asymptote.
r X 1
45- § W = A 46‘ 3/ = (x-1)24 7 - y=(x- 2)(x + 2) 4 8 ‘ y = x2-2x- Graph f{x) = ^ '''jf+V' ^ anc^ S(x) = * + 1. Are the graphs the same? Explain.
Apply What You've Learned (1 ^ practices
MP 2, MP 5
In the Apply What You’ve Learned in Lesson 11-4, you wrote a rational expression
for the surface area of the lunch box described on page 663.
a. Write the equation of a rational function that gives the surface area S(x) of the lunch
box in terms of x.b. Graph the function on a graphing calculator. Describe a viewing window that shows
the full shape of the graph for x > 0.
c. Use your graphing calculator to find the coordinates of the minimum point of the
function when x > 0. Round to the nearest hundredth.
d. What does the minimum point tell you?712 Ch a p t er 11 Rat i o n al Ex p r essi o n s an d Fu n ct i o n s