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gawman
Detemine |X-16| - |X-2| = ? given X<7
A precalculus absolute value function is a mathematical function that calculates the distance between a point and the origin on a number line. It is represented by the symbol |x| and always returns a positive value.
To graph a precalculus absolute value function, you can plot points by substituting different values for x and calculating the corresponding y values. You can also use transformations, such as reflecting the graph over the x-axis or shifting it horizontally or vertically.
The key features of a precalculus absolute value function graph include a V-shaped graph, a horizontal line at y=0, and symmetry about the y-axis. The vertex of the V-shaped graph represents the minimum or maximum value of the function, and the distance from the vertex to the horizontal line represents the value of the absolute value expression.
To solve equations involving precalculus absolute value functions, you need to isolate the absolute value expression on one side of the equation. Then, you can set up two equations, one with a positive value and one with a negative value, and solve for x in each equation. The solutions will be the x-values that make the absolute value expression equal to the given value.
Precalculus absolute value functions can be used to calculate distances in real-life situations, such as finding the distance between two cities on a map or the displacement of an object in physics. They can also be used to model situations where a quantity can only take on positive values, such as the height of a building or the temperature of a room.