MathDB
Intersection of Graphs

Source:

February 12, 2009
quadratics

Problem Statement

The graphs of y\equal{}\frac{x^2\minus{}4}{x\minus{}2} and y\equal{}2x intersect in: <spanclass=latexbold>(A)</span> 1 point whose abscissa is 2<spanclass=latexbold>(B)</span> 1 point whose abscissa is 0<spanclass=latexbold>(C)</span> no points<spanclass=latexbold>(D)</span> two distinct points<spanclass=latexbold>(E)</span> two identical points <span class='latex-bold'>(A)</span>\ \text{1 point whose abscissa is 2} \qquad <span class='latex-bold'>(B)</span>\ \text{1 point whose abscissa is 0}\\ <span class='latex-bold'>(C)</span>\ \text{no points} \qquad <span class='latex-bold'>(D)</span>\ \text{two distinct points} \qquad <span class='latex-bold'>(E)</span>\ \text{two identical points}