Apr 4, 2018 · Our domain is all real numbers due to our x-values being continuous across the x-axis, since we have one shaded circle at x = 0 on the linear function, and one shaded circle at …

To determine the domain and range of a function, first determine the set of values for which the function is defined and then determine the set of values which result from these.

Oct 3, 2014 · In most cases, we should look for a discontinuity at the point where a piecewise defined function changes its formula. You will have to take one-sided limits separately since …

Apr 20, 2015 · The domain is allready defined by the question -4<=x<=+4 The range is what values the function can go to: If x=-4->y=sqrt (- (-4))=sqrt4=2 And for positive x's it's the same …

Mar 26, 2015 · Please see below. Use a bracket (sometimes called a square bracket) to indicate that the endpoint is included in the interval, a parenthesis (sometimes called a round bracket) …

Dec 5, 2017 · A simple example is: y=1 (if x=2) y=x (otherwise) There are infinitely many functions that satisfy the condition. However, none of these are continuous everywhere because of the …

Aug 15, 2015 · A piecewise continuous function is a function that is continuous except at a finite number of points in its domain. Note that the points of discontinuity of a piecewise continuous …

Aug 30, 2017 · The domain of g(x) is therefore all real numbers. The range of the function is the set of all output values that could be produced by the function. Function g (x) is an absolute …

Sep 26, 2015 · This is essentially the same problem as determining the points at which any function is discontinuous, except the that points where the definition of the function changes …

Jul 13, 2016 · The domain is (-infty, infty) and the range is [-1,1]. This is a fun problem because we are presented with a modified version of the cos(x) function, but as we will see, it is, in fact, …