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A function is like a machine that takes an input and gives an output. Let's explore how we can graph, analyze, and create different types of functions. **Unit guides are here!**
Functions assign a single output for each of their inputs. In this video, we see examples of various kinds of functions.
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Learn algebra with interactive lessons and practice problems on Khan Academy.
An exponential function represents the relationship between an input and output, where we use repeated multiplication on an initial value to get the output for any given input. Exponential functions can grow or decay very quickly.
The Algebra 1 course, often taught in the 9th grade, covers Linear equations, inequalities, functions, and graphs; Systems of equations and inequalities; Extension of the concept of a function; Exponential models; and Quadratic equations, functions, and graphs.
Limits describe how a function behaves near a point, instead of at that point. This simple yet powerful idea is the basis of all of calculus. To understand what limits are, let's look at an example.
Differential Calculus 6 units · 117 skills. Unit 1 Limits and continuity. Unit 2 Derivatives: definition and basic rules. Unit 3 Derivatives: chain rule and other advanced topics. Unit 4 Applications of derivatives. Unit 5 Analyzing functions. Unit 6 Parametric equations, polar coordinates, and vector-valued functions. Course challenge.
Course: Integrated math 3 > Unit 13. Lesson 4: Graphs of rational functions. Graphing rational functions according to asymptotes. Graphs of rational functions: y-intercept. Graphs of rational functions: horizontal asymptote.
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