Please just tell me what steps I need to take in order to graph these. I don't need an explanation for all of them, just maybe use one or two as an example! Thanks!
Using a proper sequence of transformations, graph the following functions. For each graph, clearly label any asymptotes and at least one point on the graph.
f(x)=−ln(x−2)
g(x) = 4 + log_3(−x)
h(x) = log(x + 3)
Using a proper sequence of transformations, graph the following functions. For each graph, clearly label any asymptotes and at least one point on the graph.
f(x)=−ln(x−2)
g(x) = 4 + log_3(−x)
h(x) = log(x + 3)
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Are you graphing them by hand? Base e, or the natural log (ln) is very difficult to graph by hand due to the fact that it's an approximate decimal roundage rather than an actual one.
g(x) is the graph of log base 3 moved up 4 units and flipped horizontally across the y-axis due to the -x argument. Your vertical asymptote is still going to be x=0. A point would be (-9,6).
h(x) is the graph of log base ten moved left 3 units. A point would be (-2,0).
g(x) is the graph of log base 3 moved up 4 units and flipped horizontally across the y-axis due to the -x argument. Your vertical asymptote is still going to be x=0. A point would be (-9,6).
h(x) is the graph of log base ten moved left 3 units. A point would be (-2,0).