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Graph of Logarithmic functions. 1 b 1 b 2 2 Graph of y = log b x b >1 If x = ------, then y = ------ 1/b -1 1 0 b 1 b 2 2 -1 1/b.

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Presentation on theme: "Graph of Logarithmic functions. 1 b 1 b 2 2 Graph of y = log b x b >1 If x = ------, then y = ------ 1/b -1 1 0 b 1 b 2 2 -1 1/b."— Presentation transcript:

1 Graph of Logarithmic functions

2 1 b 1 b 2 2 Graph of y = log b x b >1 If x = ------, then y = ------ 1/b -1 1 0 b 1 b 2 2 -1 1/b

3 1 b 1 y = log b x if x > 0 b 2 2 -1-b -b 2 Sketch the graph of y = log b |x| b >1 If x = ------, then y = ------ 1 0 b 1 b 2 2 If x = ------, then y = ------ -1 0 -b 1 -b 2 2 y = log b (-x) if x < 0 Graph of y = log b |x| b > 1 is symmetric with respect to y-axis, that is, log b |x| i s an even function.

4 1 1/b -1 1/b 2 -2 Graph of y = log b x b < 1 If x = ------, then y = ------ b 1 1 0 1/b -1 1/b 2 -2 1 b

5 If x = ------, then y = ------ -1 0 -1/b -1 -1/b 2 -2 1 1/b -1 y = log b x if x > 0 1/b 2 -2 -1 -1/b -1/b 2 Sketch the graph of y = log b |x| b < 1 If x = ------, then y = ------ 1 0 1/b -1 1/b 2 -2 y = log b (-x) if x < 0 Graph of y = log b |x| b < 1 is symmetric with respect to y-axis, that is, log b |x| i s an even function.

6 -2 2 1 Graph of y = log 5 (x+3) If x = ------, then y = ------ -2 0 2 1 -3

7 4 1 Graph of y = log 0.5 (x-3) If x = ------, then y = ------ 4 0 3.5 1 3 3.5

8 -2 -1 1 Graph of y = -log 0.5 (x+3) If x = ------, then y = ------ -2 0 -1 1 -3

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