Questions and Answers
What is a function?
What is the domain in algebra?
The x values
What is the range in algebra?
The y values
What does the slope of a line describe?
Signup and view all the answers
What is an x-intercept?
Signup and view all the answers
What is a y-intercept?
Signup and view all the answers
What is the slope-intercept form of a linear equation?
Signup and view all the answers
What are the standard forms for a linear function?
Signup and view all the answers
What is point-slope form?
Signup and view all the answers
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz includes essential terms from Algebra 1, focusing on foundational concepts like functions, domain, range, and slope. Each card presents a key word alongside its definition, helping students reinforce their understanding of the material.