12th Grade Comparing Exponential & Polynomial Growth Lessons

Learn to identify and classify various function types, including linear, quadratic, exponential, and non-functions. Enhance your ability to distinguish these function types and apply this knowledge to solve mathematical problems accurately.

Explore various types of functions, with a focus on their growth rates and distinctive characteristics. Gain the ability to identify and compare different function types, thereby enhancing analytical skills in mathematical functions.

Understand the intriguing differences and similarities between quadratic and exponential functions, focusing on how these functions behave and the contexts they apply to. Enhance your ability to analyze and differentiate between growth patterns in mathematical contexts.

Exploration of exponential and linear functions highlights the differences between growth and decay patterns. Learners will develop skills to identify these functions, construct and analyze data tables accurately, and grasp the mathematical principles that dictate these patterns.

Focuses on the identification and differentiation of linear and exponential functions through various forms, including graphs, equations, and tables. Enhances the ability to recognize function types and apply understanding in real-world contexts, fostering strong algebraic reasoning and analytical skills.

Explore the impact of various transformations on functions, including shifts and comparisons among linear, quadratic, and exponential functions. Acquire skills in manipulating function expressions and interpreting the influence of algebraic modifications on graphs, thereby enhancing the ability to predict and explain graphical behaviors.

Engage with transformations of exponential functions, covering concepts such as growth, decay, and transformations. Acquire skills to classify and analyze exponential functions, enhancing understanding and application of mathematical transformations in varied contexts.

Focuses on understanding and analyzing function transformations, emphasizing vertical and horizontal shifts. Develops the ability to identify and compare function transformations, enhancing skills in interpreting mathematical changes and their graphical representations.

Engage in comprehensive practice on graph transformations and inverse functions, focusing on exponential and logarithmic functions. Develop the ability to identify key properties such as domains, ranges, and asymptotes, enhancing problem-solving skills in related mathematical contexts.

Engage with polynomial functions by exploring essential concepts, including turning points, degrees, and leading terms. Develop analytical skills by evaluating properties, graph behaviors, and calculations of domain and range associated with polynomials.

Explore the y-intercept and growth/decay factors of exponential functions to understand their fundamental characteristics. Through problem-solving, develop the ability to identify the y-intercept and evaluate growth or decay factors, enhancing mathematical analysis skills.