Podcast
Questions and Answers
What type of data involves a count of items?
What type of data involves a count of items?
- Linear function
- Continuous data
- Discrete data (correct)
- Function
What is continuous data?
What is continuous data?
Continuous data are data where numbers between any two data values have meaning.
Define a function.
Define a function.
A function is a rule that assigns to each input value exactly one output value.
What is a function rule?
What is a function rule?
When is an equation considered a linear equation?
When is an equation considered a linear equation?
What defines a linear function?
What defines a linear function?
If data does not form a straight line when graphed, then its change is nonlinear.
If data does not form a straight line when graphed, then its change is nonlinear.
What is a proportional relationship?
What is a proportional relationship?
What is slope?
What is slope?
What is the formula for the slope of a line?
What is the formula for the slope of a line?
What is slope-intercept form?
What is slope-intercept form?
What is a y-intercept?
What is a y-intercept?
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Study Notes
Data Types
- Continuous data: Values between any two data points are meaningful; represented by a solid line.
- Discrete data: Involves counting items (e.g., people, cars); depicted with plotted points connected by a dashed line.
Functions
- Function: A rule mapping each input to exactly one output.
- Function rule: An equation that represents a specific function.
Linear Equations and Functions
- Linear equation: Creates a straight line when graphed.
- Linear function: Points on the graph of a linear function lie in a straight line.
Nonlinear Relationships
- Nonlinear: Data that does not form a straight line when graphed indicates a nonlinear relationship.
Relationships and Ratios
- Proportional relationship: Maintains a constant ratio between inputs and outputs.
Slope
- Slope: A measure of steepness calculated as the vertical change divided by the horizontal change (rise/run).
- Slope of a line: Formula involves change in y coordinates over change in x coordinates, simplified to rise/run.
Slope-Intercept Form
- Slope-intercept form: An equation of the form y = mx + b, where m represents the slope and b the y-intercept; results in a linear graph.
- Y-intercept: The point at which a graph intersects the y-axis.
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