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Find the root of f (x) = 22x – 10 by graphing on Desmos.

User RMorrisey
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Final answer:

Graph f(x) = 22x - 10 on Desmos, label f(x) and x, and scale axes from 0 to 20 for x and the appropriate y-values to find the root where the line crosses the x-axis, indicating the solution.

Step-by-step explanation:

When attempting to find the root of the function f(x) = 22x - 10, graphing can be a useful method, such as using the graphing calculator Desmos. A root of a function is the value of x for which the function equals 0. To find the root of f(x) = 22x - 10, set up the graph on Desmos. Label the graph with f(x) and x. Scale the x and y axes appropriately to ensure you can observe the crossing point along the x-axis. In this specific scenario, if we consider the function f(x) for 0 ≤ x ≤ 20, we would set a range on the x-axis from 0 to 20 and on the y-axis considering a range that includes the maximum value of f(x), which is 440 when x is 20, and the minimum value of f(x), which could be below 0. By plotting the points and drawing the line, the root will be the point where the line crosses the x-axis. Since this is a linear function, there will be only one crossing point, indicating a single root.

User Aleneum
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