1. The problem involves identifying the locations of removable discontinuities (holes) and vertical asymptotes in given graphs. 2. A removable discontinuity (hole) occurs where a factor cancels in the numerator and denominator of a rational function, causing the function to be undefined at that point but the limit exists. 3. A vertical asymptote occurs where the denominator is zero and the factor does not cancel, causing the function to approach infinity or negative infinity. 4. For Graph 1 (a straight line with positive slope crossing near the origin), there are no discontinuities or vertical asymptotes. 5. For Graph 2 (two line segments crossing at a point near the center), the crossing point is a hole (removable discontinuity) because the function is defined everywhere else but undefined at that point. 6. For Graph 3 (reciprocal-like curve with vertical asymptote near $x=2$), the vertical asymptote is at $x=2$. 7. For Graph 4 (reciprocal-like curve with vertical asymptote near $x=1$), the vertical asymptote is at $x=1$. Final answers: - Location of removable discontinuity (hole): Graph 2 crossing point (near center, exact $x$ depends on function but visually at the crossing). - Location of vertical asymptotes: Graph 3 at $x=2$, Graph 4 at $x=1$.