MATH 1030 Lecture 2: SET 2

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21 Jul 2017
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An equation is a function if each x-value has only one y-value. Definition of a function a correspondence from a first set, called the domain, to a second set, called the range, such that each element in the domain corresponds to exactly one element in the range. Vertical line test if any vertical line intersects a graph in more than one point, the graph does not define y as a function of x. Even function f(-x) = f(x), reflected over y-axis. Odd function f(-x) = -f(x), reflected over x-axis. Difference quotient: find f(x+h, simplify f(x+h) - f(x, divide the result by h. Point-slope form equation use when given two points and a slope, two sets of ordered pairs. Equation of a horizontal line y = # Equation of a vertical line x = # Ax + by = c, a cannot be a fraction.

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