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# PC 1 continuity

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### PC 1 continuity

1. 1. Continuity<br />Precalculus<br />
2. 2. Continuous functions<br />Graphically, a smooth, solid curve or line.<br />Domain is not limited. All Real numbers.<br />
3. 3. Discontinuities<br />Infinite<br />Jump<br />Point<br />
4. 4. Continuity Test<br />The function is defined at c. f(c) exists.<br />
5. 5. Continuity Test<br />The function is defined at c. f(c) exists.<br />The function approaches the same y value on the left and rightsides of x = c.<br />
6. 6. Continuity Test<br />The function is defined at c. f(c) exists.<br />The function approaches the same y value on the left and rightsides of x = c.<br />The y value that the function approaches from each side is f(c).<br />
7. 7. Continuity on an interval<br />A function f(x) is continuous on an interval IFF it is continuous at each number x in the interval.<br />
8. 8. Critical Points and Extrema<br />Critical points are the points on a graph at which a line drawn tangent to the curve is horizontal or vertical.<br />
9. 9. Critical Points and Extrema<br />Maximum is where the function changes from increasing to decreasing.<br />
10. 10. Critical Points and Extrema<br />Maximum is where the function changes from increasing to decreasing.<br />Minimum is where the function changes from decreasing to increasing.<br />
11. 11. Critical Points and Extrema<br />Maximum is where the function changes from increasing to decreasing.<br />Minimum is where the function changes from decreasing to increasing.<br />Point of inflectionis where the graph changes its curvature.<br />
12. 12. Rational functions<br />The quotient of two polynomial functions<br />
13. 13. Rational Functions<br />Limited domains<br />
14. 14. Rational Functions<br />Vertical asymptotes or holes<br />Limited domains<br />