Question #136143
given a table :
x's values are 1,3,6,9,12
f(x) values are -4,5,3,-6,10
How many times if any is f(x)=2 guaranteed on the interval [1,12] then justify your response....
Expert's answer
3 times.
Since f(1)=-4<2
f(3)=5>2
Hence on the interval (1;3) f(x)=2 at least once
f(6)=3>2
f(9)=-6<2
Hence on the interval (6;9) f(x)=2 at least once
f(9)=-6<2
f(12)=10>2
Hence on the interval (9;12) f(x)=2 at least once
