Graphs of Logarithmic Functions. For a function y = log(x) with a positive base a, you will have one of the following gr

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Graphs Of Logarithmic Functions For A Function Y Log X With A Positive Base A You Will Have One Of The Following Gr 1 (39.23 KiB) Viewed 78 times

Graphs of Logarithmic Functions. For a function y = log(x) with a positive base a, you will have one of the following graphs: a<1 Decreasing Logarithmic Graph These graphs have one distinct difference: If your base a > 1, the graph is increasing, and if your base a < 1, the graph is decreasing. Let f(x) = -log3.5(x + 6) + 7. Answer the following: (a) The base is a = 3.5 They have three important similarities: (1) Both graphs have an x-intercept at (1,0). (2) Both graphs have a vertical asymptote at the y-axis. This means that y = log(x) will not have a y-intercept. (3) Both graphs have domain (0,0). This gives us a third checklist for finding domains algebraically. which is O>1. O<1. (b) List all the graph movements involved. Select all that apply. O Reflection on the x-axis. Reflection on the y-axis. Translated 6 units left. Translated 6 units right. Translated 7 units up. Translated 7 units down. a> 1 This means that the original graph is an increasing logarithmic. Oa decreasing logarithmic. (c) Determine the domain and range of f(x) Domain: Range: Increasing Logarithmic Graph