Howtosignalprocessing
- How do you plot a discontinuous graph in matlab?
- How do you illustrate a discontinuity of a function?
- How do you show a function is discontinuous at a point?
How do you plot a discontinuous graph in matlab?
In matlab, a piecewise discontinuous function can be plotted using a for loop and an if/elseif/else statement. Plotting all three graphs in the same window results in a single graph that shows all three components of the piecewise function. Discontinuous functions can be plotted using the plot function.
How do you illustrate a discontinuity of a function?
Start by factoring the numerator and denominator of the function. A point of discontinuity occurs when a number is both a zero of the numerator and denominator. Since is a zero for both the numerator and denominator, there is a point of discontinuity there.
How do you show a function is discontinuous at a point?
To show from the (ε, δ)-definition of continuity that a function is discontinuous at a point x0, we need to negate the statement: “For every ε > 0 there exists δ > 0 such that |x − x0| < δ implies |f(x) − f(x0)| < ε.” Its negative is the following (check that you understand this!): “There exists an ε > 0 such that for ...
