Question

9. Find the requested informnation for the function, writing "none" if appropriate. Write asymptotes equations and intercepts as ordered pairs. as f(x) log3(2) (9.4) (6 points) Sketch marking intercept(s), the asymptote, and two points that the function goes through. the graph, carefully (9.1) (4 points) Domain: 6 (9.2) (4 points) 2 Asymptote: -4 2 4 6 -6 -2 2 (9.3) (3 points) 4 -6 x-intercept:

Answer 1

9. A graph of the function f(x) = log₃ (x+2) is attached. The x-intercept is -1 and the y-intercept is log₃ 2 = 0.631 (approximately). The line x = -2 is the vertical asymptote.

The graph of f(x) passes through the points ( -1,0) and (0, 0.631).

9.1. Since log₃ (0) is undefineed, the domain of f(x) is (-2, ∞).

9.2. The line x = -2 is the asynmptote ( vertical) .

9.3. The x-intercept is -1. ( log₃ (-1+2) = log₃ (1) = 0).

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