What is a Function?
Understand the definition of a function and how inputs map to outputs.
Understand the definition of a function and how inputs map to outputs.
Learn how to find the domain and range of any function, with clear examples.
Explore how functions are visualized on a graph and what the graph tells us.
Learn how to analyze where functions are increasing, decreasing, or constant.
Discover what makes a function even, odd, or neither with symmetry examples.
Meet the most important basic functions that serve as templates for others.
Understand how piecewise functions work and how to graph them correctly.
Learn how to shift, stretch, reflect, and transform functions visually and algebraically.
Understand how to add and subtract functions and interpret the resulting graphs.
See how multiplying or dividing functions affects their graphs and behavior.
Dive into composite functions and how to evaluate and decompose them effectively.
Learn how to calculate and interpret slope, graph lines using a given point and slope, write equations in both point-slope and slope-intercept form, and find the equation of a line given two points.
Learn how to use the distance formula to calculate the distance between two points and how to use the midpoint formula to find the point halfway between two given coordinates.
Learn how to interpret and write the standard form of a circle's equation, identify the center and radius, and graph circles step-by-step.
Walkthrough of quadratic equations that explains how to recognize them, solve them step-by-step, and understand what the solutions mean visually and algebraically.
Learn how to solve absolute value equations, identify when there are no solutions, graph absolute value functions with vertex shifts, and how to solve absolute value inequalities using compound statements.
Explanation of horizontal, vertical, and oblique asymptotes, showing how functions behave near them and how to identify each type from an equation or graph.
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