Functions
15 videos
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Algebra 1 - Functions: Your New Best Friend in Algebra
Introduction to functions using a smoothie shop example. Explains that a function gives exactly one output for each input, demonstrated with f(x) = 5x.
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Algebra 1 - What Is a Function? Input In, Output Out
Learn what a function is: a rule that takes one input and gives exactly one output. See how f(x) = 3x + 1 works with examples and graphs.
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Algebra 1 - Evaluating Functions from an Equation
Learn how to evaluate functions by substituting input values for x and simplifying. Includes an example using f(x)=3x+7 and verifying the result on a graph.
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Algebra 1 - Reading Function Values from a Graph
Learn how to read function values from a graph by finding x-coordinates, locating points on the curve, and reading corresponding y-values as outputs.
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Algebra 1 - Function Notation in the Real World
Learn how subtracting function values reveals change between inputs, using a real-world example of tracking running miles over time.
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Algebra 1 - Is It a Function? The Vertical Line Test and More
Learn what makes a function using the vertical line test. Understand why each input must have exactly one output, with examples of parabolas, circles, and tables.
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Algebra 1 - Domain: What Can You Plug In?
Learn how to find the domain of a function by identifying restrictions like division by zero and negative square roots, with step-by-step examples.
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Algebra 1 - Domain and Range from a Graph
Learn what domain and range mean for functions. Domain shows x-values (left to right), while range shows y-values (bottom to top) where a graph exists.
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Algebra 1 - Domain in Word Problems
Learn why domain matters in real-life functions. Discover when to use integers (counting items) versus real numbers (measuring time, distance, weight).
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Algebra 1 - Maximum and Minimum Points on a Graph
Learn about maximum and minimum points on graphs, including the difference between absolute and relative (local) extrema using a roller coaster analogy.
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Algebra 1 - Where Is a Function Increasing, Decreasing, Positive, or Negative?
Learn to identify where functions are positive, negative, increasing, and decreasing by analyzing graphs. Understand the key difference between these concepts.
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Algebra 1 - Interpreting Graphs in Real-World Contexts
Learn how to interpret graphs by analyzing a phone battery draining over time, including y-intercepts, increasing/decreasing intervals, and positive/negative intervals.
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Algebra 1 - Average Rate of Change
Learn how to calculate average rate of change using the slope formula between two points on a curve, illustrated with a driving example and quadratic function.
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Algebra 1 - Average Rate of Change: Worked Examples
Learn how to calculate average rate of change using the slope formula between two points. Includes examples from graphs and tables with step-by-step solutions.
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Algebra 1 - Inverse Functions: Undoing What a Function Does
Learn how inverse functions reverse input and output, how to find them algebraically, and how they reflect over y=x on a graph.