Answer to Question #136143 in Calculus for sdfa

Question

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....

Answer 1

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