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Finding the Range of an Exponential Function Using Graphs

This video explains how to determine the range of an exponential function using its graph. We focus on interpreting the graph correctly to identify all possible output values, including how horizontal asymptotes affect the range and how transformations shift or reflect the graph. Understanding the range of exponential functions is essential in first-year calculus and pre-calculus, particularly when working with function transformations, inverse functions, and later topics such as logarithmic functions. 📘 Topics covered: • Interpreting the graph of an exponential function • Identifying horizontal asymptotes • Determining output values from the graph • Writing the range using interval notation Suitable for undergraduate mathematics students revising functions and graphical analysis.