Linear function, linear function with absolute value

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Mgr. Lukáš Macek

Published on Oct 6, 2024
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1) What is a linear function? 2) Special cases of linear functions 3) Examples: Draw the graph of a linear function with the given formula: a) y = 2x + 3 b) y = 2x - 3 c) y = -2x + 3 d) y = -2x - 3 4) GeoGebra: Discussion of the values ​​of the parameters a, b in the formula of a linear function when is the function increasing/decreasing? what happens when we change the value of b? where do we find b in the graph? how does a express how fast a linear function increases/decreases? how do we find a in the graph? 5) Example: Determine the formula of a linear function given by the graph. a) via a system of two linear equations in two unknowns b) using the results of the discussion – the “blink and see” method 6) Example: Determine the formula of a linear function whose graph passes through the points A[-2; 4], B[0; -2]. 7) Linear function with absolute value what is a graph? Example 1: Draw the graph of the function with the formula y = 5x - 3. Example 2: Draw the graph of the function with the formula y = x - 2 + x + 1. Example 3: Draw the graph of the function with the formula y = 2x - 1 + 3. 8) Drawing a graph from the formula of the function using the "blink and see" method: Example 1: f: y = -4x + 2 Example 2: g: y = 3x - 7 9) Endnote: How to draw the graph of the function y = x + 5 + 2 - 3 - 7?

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