Questions and Answers
What is the absolute value function?
What does the axis of symmetry do?
It divides a figure into two parts that are mirror images.
What is the definition of a boundary?
A line in the coordinate plane that separates solutions of an inequality from nonsolutions.
What is the constant of variation?
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What does correlation indicate?
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What is the correlation coefficient?
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What does the dependent variable represent?
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What is direct variation?
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Define domain.
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What is function notation?
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What does the function rule determine?
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What is a half-plane?
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Define independent variable.
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What is a line of best fit?
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What is a linear equation?
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What is a linear function?
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What is a linear inequality?
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Define parallel lines.
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What is a parent function?
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What are perpendicular lines?
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What is point-slope form?
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Define range.
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What is reflection in geometry?
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Define relation in mathematics.
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What is a scatter plot?
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Define slope.
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What is slope-intercept form?
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What is the standard form of a linear equation?
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What is a test point?
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What is a transformation in mathematics?
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What is a translation?
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What is a vertex in the context of functions?
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What is vertical compression?
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What is vertical stretch?
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What does the vertical line test determine?
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What is an x-intercept?
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What is a y-intercept?
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What is a linear equation representative of direct variation?
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What is the definition of a relation?
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Study Notes
Functions and Relations
- Absolute value function has the form f(x) = |mx + b| + c, where m ≠ 0.
- A relation is a set of ordered pairs defining a relationship between x and y values.
- The domain consists of all x-coordinates, while the range includes all y-coordinates.
- A function occurs when each x-coordinate pairs with exactly one y-coordinate.
Graphs and Lines
- The axis of symmetry divides a figure into two mirror-image parts.
- A boundary of a graph in a linear inequality is a line in the coordinate plane, distinguishing solutions from nonsolutions.
- The line of best fit represents the trend of data in scatter plots, minimizing the distance from points to the line.
- Linear equations can be expressed in slope-intercept form y = mx + b, with m being the slope and b the y-intercept.
Variations and Correlations
- Direct variation is modeled as y = kx where k is the constant of variation and cannot be zero.
- Correlation assesses the strength of a relationship between two data sets, ranging from -1 to 1.
- The correlation coefficient (r) quantifies the degree of correlation; values near 1 or -1 suggest strong linear relationships.
Slope and Intercepts
- Slope quantifies how much y changes with a change in x, calculated as the ratio of change in y to change in x.
- The x-intercept is where the graph crosses the x-axis, while the y-intercept is where it crosses the y-axis.
Linear Inequalities and Graphing
- A linear inequality creates a half-plane on one side of the boundary line, indicating a region of solutions.
- Perpendicular lines have slopes that are negative reciprocals, while parallel lines share the same slope.
Transformations and Properties
- Transformations such as translations shift a graph's position without altering its shape.
- The vertical-line test determines if a relation is a function; if any vertical line intersects the graph at more than one point, it is not a function.
Additional Concepts
- The independent variable is the input of a function, while the dependent variable is the output.
- The function rule describes the relationship between input and output variables.
- The vertex of an absolute value function is the point where the direction of the graph changes.
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Description
Test your knowledge with these flashcards covering key concepts from Algebra 2 Unit 2. This set includes definitions and explanations for important terms such as absolute value functions and the axis of symmetry. Perfect for review and preparation for exams!