2.2 Square Root of a Function Square Root of the Linear Function

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Presentation transcript:

2.2 Square Root of a Function Square Root of the Linear Function Comparing Graphs of a Linear Function and the Square Root of the Linear Function Linear Function Square Root of a Linear Function Domain: Range: Math 30-1

True or False The Square Root of a Linear Function Characteristics For what values would a number and its square root be equal? Invariant Points occur when y = 0 or y = 1 True or False Math 30-1

Graph the square root of x -2x + 4 2 1 2 1.41 4 2 -1 6 2.45 -2 8 2.83 Domain: Range: Invariant Points: y values of 0 or 1 (2, 0) and (1.5, 1) Math 30-1

Observations from the Graph of a function and the Square root of the Function Math 30-1

Square Root of the Quadratic Function Comparing Graphs of a Quadratic Function and the Square Root of the Quadratic Function Quadratic Function Square Root of a Quadratic Function Domain: Range: Math 30-1

Graphing the Square Root of a Function from a Graph of a Function Domain Range Invariant Points y = 0 or 1 Sketch a curve joining these points above the graph Choose key points Math 30-1

Graph the Square Root of a Function from a Graph of a Function Compare the Domain, Range, and List any Invariant Points Domain: Range: Domain: Invariant Points: Range: Math 30-1

Assignment Page 86 2, 3, 4, 5a, 6a,b, 8a, 9, 10, 13, 16a Math 30-1