T4 & 5 Systems & Piecewise Review Flashcard

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations simultaneously.

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How do you represent a real-world situation with a system of equations?

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Identify the variables, write equations based on the relationships described in the situation, and ensure the equations reflect the constraints given.

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What does it mean to solve a system of equations graphically?

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To solve a system of equations graphically means to plot the equations on a coordinate plane and find the point(s) where the graphs intersect, which represent the solution(s).

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What is the absolute value function?

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What are the x-intercepts of a function?

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The x-intercepts of a function are the points where the graph of the function crosses the x-axis, meaning the output (y-value) is zero.

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What are the y-intercepts of a function?

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The y-intercepts of a function are the points where the graph of the function crosses the y-axis, meaning the input (x-value) is zero.

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What is a piecewise function?

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A piecewise function is a function defined by multiple sub-functions, each applying to a certain interval of the main function's domain.

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How do you find the intersection points of two functions?

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To find the intersection points of two functions, set the functions equal to each other and solve for the variable.

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What is the slope-intercept form of a linear equation?

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