Exponential Functions and Finite Sequences in Algebra
Learn about exponential functions, arithmetic operations on functions, and finite sequences in this free online course.Publisher: ADU
CertificationView course modules
This free online course on exponential functions and finite sequences in Algebra provides valuable insights into the concepts and properties of exponential functions. Learn how to solve various kinds of exponential equations either algebraically or graphically. This course also explains the concept of functions, domain and the range of a function in algebra. By taking this course, you will be able to recognize special functions, how these special functions form their equations. You will also learn how to identify the domain and range of functions as well as how to draw their graphs. This course will teach you the process of identifying linear functions in algebra. You will further learn about the different ways linear functions can be expressed in algebra along with the formula for calculating linear equations. You will also be introduced to the processes involved in graphing quadratic functions as well as how to get the highest point of the parabola in a graph.
Did you know that arithmetic operations such as addition, subtraction, multiplication, and division can be performed on a function? This course will explain how these arithmetic operations are performed on functions. You will be introduced to the graphical transformation of functions in algebra, which covers how to analyze a function as a modification of a basic prototype as well as identifying the different types of graphical transformations. This course will also teach you the meaning and application of dilation to the conversion of figures in mathematics. You will then learn about the different properties preserved under a dilation and how to get the mappings of the dilation equation. Get to expand your knowledge on the functions of patterns in algebra as well as how a sequence is defined by a recursive formula. In this course, you will also be able to identify the vocabulary associated with and often used in finite sequences.
Finally, this course encapsulates the functions of the measure of central tendency in mathematics. Get to learn about the importance of the entire set of data in a single statement including the different types of measures of central tendency. This course will teach you about the various ways data are displayed which include but are not limited to bar charts, dot-frequency graphs, as well as linear interpolation. Upon the successful completion of this course, you will be able to interpret and construct frequency tables using histograms, picture graphs, and polygons. You will also be able to explore the concept of correlation in mathematics which deals with the relationships between data sets. This course is targeted at teachers, students, engineers, mathematics enthusiasts as well as anyone interested in expanding his or her knowledge of mathematics. Start this course today and improve your knowledge of exponential functions and finite sequences in AlgebraStart Course Now
Exponential Functions - Learning Outcomes
Definition and Properties of Exponential Functions
Solving Exponential Equations
Functions in Algebra
Exponential Functions - Lesson Summary
Operations on Functions
Operations on Functions - Learning Outcomes
Arithmetic Operations on Functions
Graphical Transformations of Functions
Dilations in Algebra
Operations on Functions - Lesson Summary
Finite Sequences - Learning Outcomes
Finite Sequence - Definition and Vocabulary
Measures of Central Tendency
Histograms and Polygons
Exploring Relationships Between Data Sets
Finite Sequences - Lesson Summary
Upon the successful completion of this course, you will be able to:
- Define exponential functions.
- Identify the characteristics of functions in algebra.
- Explore the relationship between constant and identity functions.
- Discuss the components of quadratic functions in algebra.
- Recall how to perform arithmetic operations on functions.
- Define the inverse of a function.
- Explain how to transform geometric figures through translations, reflections, rotations and dilations.
- Identify the vocabulary associated with finite sequences.
- Explain how sequences are defined by a recursive formula.
- Discuss the different types of finite sequences.
- Differentiate between the sequence of a square and the sequence of a cube.
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