MTH $125$

Calculus I

Take$-$Home Project I

Date Due: $31$ August $2025$

Name:

In problems $1-2,$ discuss the continuity of each function. Mentify and classify all discontinuities. Be sure to state whether each discontinuity is removable or nonremovable, and find the limiting value$($s$)$ at each dicontinuity. Locate all intercept points, any asymptotes, and graph.

$f(x)=\frac{x^2+2x-15}{x^2-x-6}$

$f(x)=\{\begin{array}{cc}2x-10,& x>4\\ 9-x^2,& x4\end{array}$