Consequences of the Mean Value Theorem:Increasing Function TheoremSuppese f(x)is continuous ona,b and differentiable on(a,b), thenIff'(x)>0onf(x)axbf'(x)0f(x)axba, then f(x)is nondecreasing onaxb.(4)An example of the increasing function theorem would beto say that if the rate at which a population is growing ispositive, then the population is increasing. Give another real-world example of the Increasing Function Theorem.a, then f(x)is increasing onaxb.Iff'(x)0ona, then f(x)is nondecreasing onaxb.(4)An example of the increasing function theorem would beto say that if the rate at which a population is growing ispositive, then the population is increasing. Give another real-world example of the Increasing Function Theorem.