Question

Explain why the answer is h = 4!

Answer 1

26) Let  f(x)=x4−1x2−1  for  x≠−1,1 .

a. Sketch the graph of  f .

b. Is it possible to find values  k1  and  k2  such that  f(−1)=k  and  f(1)=k2 , and that makes  f(x)  continuous for all real numbers? Briefly explain.

27) Sketch the graph of the function  y=f(x)  with properties i. through vii.

i. The domain of  f  is ( −∞,+∞ ).

ii.  f  has an infinite discontinuity at  x=−6 .

iii.  f(−6)=3  

iv.  limx→−3−f(x)=limx→−3+f(x)=2  

v.  f(−3)=3  

vi.  f  is left continuous but not right continuous at  x=3 .

vii.  limx→−∞f(x)=−∞  and  limx→+∞f(x)=+∞