This question aims to identify whether the given equation represents a function or not. A function is an interpretation, principle, or rule in mathematics that characterizes an association between an independent and a dependent variable. Functions are common in mathematical concepts and are required for the formulation of physical relationships in the scientific disciplines. A […]
Category Archives: Algebra Q&A
Where is the greatest integer function f(x)= ⌊x⌋ not differentiable? Find a formula for f’ and sketch its graph.
Expert Answer: The greatest integer function is not differentiable on any real value of x because this function is discontinuous on all the integer values, and it has no or zero slopes on every other value. We can see the discontinuity in Figure 1. Let f(x) is a floor function which is represented in […]