Graphing logarithmic functions can be a challenging task, especially when working through the steps of the process. To help guide learners through this process, instructors often provide an answer key. An answer key is a document that provides the correct answers to a set of questions. This article will provide an answer key for the 15.2 graphing logarithmic functions worksheet.
Steps for Graphing Logarithmic Functions
Before looking at the 15.2 answer key, it is important to understand the steps for graphing logarithmic functions. The first step is to identify the domain and range of the function. The domain is the set of all x-values that the function can take on, and the range is the set of all y-values that the function can take on. The second step is to plot the points that belong to the graph. This can be done using the values provided in the answer key. The third step is to draw the graph by joining the points together. The fourth step is to label the axes and provide a title for the graph.
15.2 Answer Key
The 15.2 answer key is provided below. The first row contains the domain and range of the function, which is x≥-2 and y≥0 respectively. The remaining rows contain the x and y values that should be plotted on the graph. The points provided in the answer key should be connected together to form the graph:
xy
-20
-11
02
14
28
316
432
Interpreting the Graph
Once the graph is drawn, it is important to interpret the results. The graph shows that the function is increasing exponentially. This means that as x increases, y increases at an ever-increasing rate. This behavior is due to the presence of the logarithm in the equation. The graph also shows that the function is continuous, meaning that there are no gaps in the graph.
Graphing logarithmic functions can be a challenging task, but with the help of an answer key, the process can be simplified. The 15.2 answer key provided in this article should help learners to understand the steps for graphing logarithmic functions and to interpret the graph that results from their work. With this knowledge, learners should be better equipped to tackle more complex graphing problems.
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