Graphing Logarithmic Functions by Walch Education (2)

GeoGebra Commands & Parameters

1. Sequence(x = a, a, -7, -4, 0.5) → list1
2. LaTeX("\textcolor{#000099}{d(x)=\log_{2}{x}}") → dtext
3. LaTeX("\textcolor{#FF0000}{c(x)=\log_{2}\left(x+1\right)}") → ctext
4. LaTeX((((("\text{Graph the logarithmic functions }{" * ctext) * "}\text{ and }{") * dtext) * "}\text{ together on a}\cr\text{coordinate plane. Use the graph to identify and compare the asymptotes, intercepts,} \cr \text{domains, and ranges of the functions, as well as their shape and end behavior.}")) → text1
5. LaTeX("\text{Graph the functions together on a coordinate plane.}") → text2
6. LaTeX((((("\text{Graph }{" * ctext) * "}\text{ and }{") * dtext) * "}\text{ either by hand or using}\cr \text{a graphing calculator. The result should resemble the following graph.}")) → text3
7. LaTeX("\text{Compare the shapes and end behavior of the graphs.}") → text4
8. Vector((1, 0), (0, 0)) → u
9. LaTeX((((("\text{The graph of }{" * ctext) * "}\text{ has the same shape and end behavior as}\cr {") * dtext) * "}\text{, but the graph of }\textcolor{#FF0000}\text{c(x)}\text{ is shifted to the }\textcolor{#006400}\text{left 1 unit}\text{.}")) → text5
10. LaTeX("\text{Both graphs increase as x approaches positive infinity.}") → text6
11. LaTeX("\text{Identify the graphs’ asymptotes, intercepts, domains, and ranges.}") → text7
12. LaTeX((((("\text{The graph of }{" * dtext) * "}\text{ has a vertical asymptote at }\textcolor{#006400}\text{x = 0}\text{, whereas}\cr \text{the graph of }{") * ctext) * "}\text{ has a vertical asymptote at }\textcolor{#006400}\text{x = –1}\text{.}")) → text8
13. LaTeX((((("\text{The graph of }{" * dtext) * "}\text{ crosses the x-axis at the x-intercept }\textcolor{#006400}{\left(1, 0\right)}\text{,}\cr\text{whereas the graph of }{") * ctext) * "}\text{ crosses the x-axis at }\textcolor{#006400}{\left(0, 0\right)}\text{.}")) → text9
14. LaTeX((((("\text{While the domain of }{" * dtext) * "}\text{ is }\textcolor{#000099}\text{x > 0}\text{, the domain of}\cr {") * ctext) * "}\text{ is }\textcolor{#FF0000}\text{x>–1}\text{.}")) → text10
15. LaTeX("\text{The range of both graphs is all real numbers.}") → text11
16. Text("Move the slider to solve the problem.") → text0