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Curated Video
Domain of Rational Expressions
In this video, we define rational expression, and find the domain of rational expressions.
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Function Operations (Tables, Graphs, and Equations)
In this video, we learn how to add, subtract, multiply, and divide function values from multiple representations.
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Finding the Difference Quotient
In this video, we find the difference quotient for two different functions.
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Rewriting a polynomial as its linear factors (Determining Factors of Polynomials)
In this video, we rewrite polynomials into factored form when given a zero.
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Rational Root Theorem 2 (practice)
In this video, we do two examples of using the rational root theorem to find all zeros of a polynomial function.
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Behavior of Exponential Functions int he form of y =a*b^x
In this video, we investigate how changing "a" and "b" will affect functions int the form of y = a*b^x
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Function Composition
In this video, we define composite functions and calculate composite function values
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Function Composition 2 - Domain
In this video, we find composite functions and the domain of those composite functions
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Vertex Form Word Problems (Fence Problems)
In this video, we do quadratics word problems that can be solved using vertex form of a quadratic.
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Is ____ a factor of the polynomial?
In this video, we investigate if a given binomial is a factor of a polynomial.
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Writing a polynomial given the zeros
In this video, we write a polynomial function when given the zeros of the polynomial.
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Conjugate Zeros Theorem
In this video, we define and use the conjugate zeros theorem to write a polynomial function
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End Behavior of Polynomial Functions
In this video, we use our knowledge of power functions to predict the end behavior of polynomial functions.
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What happens at the zeros of a polynomial function?
In this video, we examine how the multiplicities of each zero (or factor) affects the graph of the polynomial function
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Applications of Composite Functions
In this video, we learn how to use composite functions (function composition) in a real-world problem.
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Converting Standard to Vertex Form (and Graphing)
In this video, we convert standard form to vertex form, then graph the quadratics.
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Writing and Graphing Quadratics in Vertex Form
In this video, we will graph quadratics in vertex form as a transformation of the quadratic parent function.
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Basics / Transformations to Rational Functions
In this video, we define rational functions and examine how to graph simple rational functions as transformations to the reciprocal function.
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Graphing Polynomial Functions
In this video, we graph a rational function by using the rational root theorem.
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Rational Functions (same degree)
In this video, we graph rational functions where the numerator has the same degree as the denominator.
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Inverse Functions (Restricted Domain)
In this video, we learn how to restrict domain to find inverse functions.
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Identifying Function Inverses
In this video, we investigate how to identify inverses from equations, from the table, or from the graph.
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Exponential Growth and Decay Word Problems (2)
In this video, we do an example of radioactive decay. How do you solve for k? This video shows how to use logarithms (and natural logarithms) to solve for the k or t value. From there, you can use your function to solve word problems.