Day 9 examples u1w14
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The document discusses how to graph the square root of a function f(x). It notes that invariant points where the graph of √f(x) overlaps with f(x) occur when f(x) equals 0 or 1. To graph √f(x), one locates any invariant points, draws the graph above f(x) between those points, and adds any other points for perfect squares, connecting them with a smooth curve below the graph of f(x).
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Day 9 examples u1w14
- 1. The function y = √f(x) is the square root of the function y = f(x) Ex. Given f(x) = 3 - 2x, graph f(x) and Invariant points occur when f(x) = 0 and f(x) = 1 because at these values √f(x) = f(x)
- 3. Ex. Given the graphs of f(x) , sketch √f(x) . Locate invariant points Step 2: Draw the part of the graph between the invariant points above f(x) and g(x) Locate other key points at perfect squares and draw them in Step 4: Sketch a smooth curve between the points. (They will be below f(x) and g(x)) Remember: Nothing should be below the x-axis!!
- 4. Ex. Given the graphs of g(x), sketch √g(x).
- 5. Ex. Given the graphs of h(x), sketch √h(x).
- 6. Ex. Given the graphs of p(x) sketch √p(x)