Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.
The graph below represents the profit of a company, in thousands of dollars, over a 6 month period beginning in October 2018. Use the graph to answer the questions
a)Explain why an exponential or logarithmic function would not be used to model this graph.
b)What is the minimum possible degree polynomial that can model this graph?
c)Find the x-intercept(s) and interpret their meaning in this context.
d)When (give name of month and year) was the profit at its lowest level, and what does this value mean?
e)When (give name of month and year) did the profit reach its maximum?What was the company’s profit at that time?
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