NOTES 7.1: Exploring the Characteristics of Exponential Functions To investigate the characteristics of the graphs of exponential functions. Lesson Focus: an is a function of the form exponential function an is a boundary that a curve approaches but never quite touches asymptote i.e. To start, let a table of values. Put graphs on the axes a both = 1. Let’s graphand using to the right. x 0 1 2 3 4 use the graphs above to answer the following questions 1. How does the graph of compare to the graph of ? a) # of d) domain x-intercepts b) e) range y–intercept c) asymptote f) end behaviour 2. Describe the graph when: a) > 1 ____________________________________________________________________________ b b) 0 < < 1 _________________________________________________________________________ b 3. Based on your observations, compare the characteristics of the graphs of exponential functions to the characteristics of the graphs of polynomial functions. a) similarities
NOTES 7.1: Exploring the Characteristics of Exponential Functions Lesson Focus: To investigate the characteristics of the graphs of exponential functions. an exponential function is a function of the form an asymptote is a boundary that a curve approaches but never quite touches i.e. To start, let a = 1. Let’s graphand using a table of values. Put both graphs on the axes to the right. x 0 1 2 3 4 use the graphs above to answer the following questions 1. How does the graph of compare to the graph of ? a) # of x-intercepts d) domain b) y–intercept e) range c) asymptote f) end behaviour 2. Describe the graph when: a) b > 1 ____________________________________________________________________________ b) 0 < b < 1 _________________________________________________________________________ 3. Based on your observations, compare the characteristics of the graphs of exponential functions to the characteristics of the graphs of polynomial functions. a) similarities
7.1_notes__exploring_the_characteristics_of_exponential_functions__-_teacher.docx