Is the function f :[3, 4] ➡R defined by f(x) = x^2 -x is a monotonic in its domain
If x∈[3,4],x\in[3, 4],x∈[3,4], then f′(x)>0f'(x)>0f′(x)>0 and f(x)f(x)f(x) is (strictly) increasing on [3,4].[3, 4].[3,4].
Therefore the function f(x)=x2−x,x∈[3,4]f(x)=x^2-x, x\in [3,4]f(x)=x2−x,x∈[3,4] is a monotonic in its domain.
Need a fast expert's response?
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments
Leave a comment