Comparing Linear Functions

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.
3.
FLASHCARD QUESTION
Front
How do you find the slope from two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).
4.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear function?
Back
The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.
5.
FLASHCARD QUESTION
Front
What is the rate of change in a real-world context?
Back
The rate of change refers to how one quantity changes in relation to another. For example, in a cost function, it represents the cost per unit.
6.
FLASHCARD QUESTION
Front
If a function has a slope of 2, what does this mean?
Back
A slope of 2 means that for every 1 unit increase in x, the value of y increases by 2 units.
7.
FLASHCARD QUESTION
Front
How can you determine which linear function has the greatest initial fee?
Back
To determine which function has the greatest initial fee, compare the y-intercepts of the functions represented in the equations or tables.
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