Question

if for real continuous function f(x),f(a)*f(b)>0,than in the range of[a,b],for f(x)=0,there is (are

Answer 1

ANSWER

since f(a) f(b) >0

so both f(a) and f(b) greater then 0 or both less then zero (- × - = + ) ............ 1

so range is [ f(a), f(b) ]

since from 1 we can say that no value exist in range that come in between f(a) and f(b)

mark me as brainliest

Answer 2

Answer:

at least one root

Explanation:

if f(a)*f(b) >  0 for all x in [a,b] .

=>

f(a) > 0 and f(b) > 0  for all x in [a,b]

                     or

f(a) < 0 and f(b) < 0  for all x in [a,b]

Hence , the curve will only touch the x-axis.

Hence , atleast one root is there.

SPJ3