For the function f(x)f(x) shown below, determine \displaystyle \lim_{x\rightarrow 2}f(x).x→2limf(x).f(x)=\begin{cases }-1+x^2 & \text{ for }\hspace{10px} x<2\phantom{\frac{1}{1}} \\ -1+x & \text{ for }\hspace{10px} x\ge2\phantom{\frac{1}{1}}\end{case s}f(x)={−1+x2−1+xfor x<211for x≥211

Match the following reasons with the statements given to create the proof. 1. do = ob, ao = oc sas 2. doc = aob given 3. triangle cod congruent to triangle aob vertical angles are equal. 4. 1 = 2, ab = dc if two sides = and ||, then a parallelogram. 5. ab||dc if alternate interior angles =, then lines parallel. 6. abcd is a parallelogram cpcte