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Questions and Answers
What is a function?
What is a function?
- An equation with no variables
- A single variable
- A relationship or expression involving one or more variables (correct)
- Only linear equations
What is the domain in algebra?
What is the domain in algebra?
The x values
What is the range in algebra?
What is the range in algebra?
The y values
What does the slope of a line describe?
What does the slope of a line describe?
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What is an x-intercept?
What is an x-intercept?
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What is a y-intercept?
What is a y-intercept?
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What is the slope-intercept form of a linear equation?
What is the slope-intercept form of a linear equation?
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What are the standard forms for a linear function?
What are the standard forms for a linear function?
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What is point-slope form?
What is point-slope form?
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Study Notes
Function
- A function describes a relationship or expression that involves one or more variables.
Domain
- The domain represents the x-values of a function, outlining the possible inputs.
Range
- The range encompasses the y-values of a function, indicating the possible outputs.
Slope
- Slope is a numerical value that indicates both the direction (increasing or decreasing) and the steepness of a line.
X-Intercept
- An x-intercept is a point where the graph intersects the x-axis, meaning the y-value at this point is zero.
Y-Intercept
- The y-intercept is the point where a line crosses the y-axis, represented in the linear equation y = mx + b as the value of b.
Slope-Intercept Form
- Slope-intercept form of a linear equation expresses the relationship between x and y with the slope and y-intercept clearly defined.
Standard Form of Linear Function
- Linear functions can be represented in three standard forms, each providing a different way to express the relationship between variables.
Point-Slope Form
- Point-slope form is represented as y - y1 = m(x - x1), where m denotes the slope and (x1, y1) are specific coordinates on the line. This format enables easy calculation of the line's equation when a point and slope are known.
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