A function is continuous if it is continuous over its entire domain. The denominator of the function is √x + 5 with a domain of x ≥ −5, however since the domain ...

Find the intervals on which each function is continuous. You may use the provided graph to sketch the function. 3) f (x) = {2x − 10, x < 2.

For problems 1-4, use the graph to test the function for continuity at the indicated value of x. 1. 1a) Explain why continuity fails at. 1 x=− .

Determine if each function is continuous. If the function is not continuous, find the x-axis location of and classify each discontinuity. 7) f (x) = -.

For #1 – 8, discuss the continuity. If a discontinuity exists, then describe the type of discontinuity and its physical feature on a graph. 1) ff(xx) ...

Find a simple basic function as a right-end behavior model and a simple basic function as a left-end behavior model. 82) y = ex + 3x. 83) y = e-x + 4x.

This Worksheet is worth 24 points. You MUST show your work to receive any credit. You may use any appropriate method to solve each problem. MULTIPLE CHOICE.

CALCULUS. Continuity. Piece-wise defined functions. Analize the continuity of this function at x = 2. 7. Consider the following piece-wise defined function:.

To find where a piecewise function is continuous: (1) Check where each branch is continuous as a function on its own. Compare this with the interval that the ...

WORKSHEET 2: Limits and Continuity. 1. (*)Calculate: a) lim x→0. 4x3 + 2x2 - x. 5x2 + 2x b) lim x→2 x3 - x2 - x - 2 x - 2 c) lim x→0. /. 2 + x -. /. 2.