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An absolute value function is an important function in algebra that consists of the variable in the absolute value bars. The general form of the absolute value function is f (x) = a |x - h| + k, where (h, k) is the vertex of the function.
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21 wrz 2023 · To solve an absolute value equation, such as \(|X| = p\), replace it with the two equations \(X = −p\) and \(X = p\) and then solve each as usual. Absolute value equations can have up to two solutions.
24 mar 2017 · In an equation, #|x-h|=k# means what numbers #x# are #k# away from #h#. For example, solving #|x-3|=5# for #x# asks what numbers are 5 away from 3: intuitively the answers are 8 (3+5) and -2 (3-5). Plugging these numbers in for #x# confirms their accuracy.
Learn how to graph absolute value functions in this video math tutorial by Mario's Math Tutoring. We discuss how to graph the parent function as well as the...
15 sie 2024 · An absolute value equation is an equation in which the unknown variable appears in absolute value bars. For example, \ [\begin {align*}|x|&=4, \nonumber \\ [4pt] |2x−1| &=3, \\ [4pt] |5x+2|−4 &=9. \end {align*}\] Solutions to Absolute Value Equations.
Example. Find the function rule for the absolute value function with vertex at (2, 1) through (5, 13). Solution. Since the vertex is at (2, 1), we know that h = 2 and k = 1 Therefore f (x) = a | x 2 | + 1 is the equation of the function. Since (5, 13) is on the graph, we can replace x with 5 and f (x) with 13 to solve for a.
This article reviews how to draw the graphs of absolute value functions. General form of an absolute value equation: f (x) = a | x − h | + k. The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down.
