Suppose

f

is continuous on

a,b

and

f(x)!=0

for all

xin[a,b]

. Is it possible that

f(z)

for some

zin[a,b]

and

f(w)>0

for some

win[a,b]

? Explain.

5. Suppose f is continuous on [a,b] and f(x)=0 for all x[a,b]. Is it possible that f(z)0 for some w[a,b] ? Explain