What is a linear function?
Algebra 1A: Unit 3 Linear Functions Test

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Mathematics
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9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = 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 unit change in the x-value.
3.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear function?
Back
The y-intercept of a linear function is the point where the graph intersects the y-axis. It is the value of y when x = 0.
4.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
To graph a linear inequality, first graph the corresponding linear equation as a solid line (for ≤ or ≥) or a dashed line (for < or >). Then, shade the region that satisfies the inequality.
5.
FLASHCARD QUESTION
Front
What does the inequality x + 4y ≤ -20 represent graphically?
Back
The inequality x + 4y ≤ -20 represents a region on the coordinate plane that includes all points (x, y) that satisfy the condition. The boundary line is x + 4y = -20.
6.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dashed line in graphing inequalities?
Back
A solid line indicates that points on the line are included in the solution set (for ≤ or ≥), while a dashed line indicates that points on the line are not included (for < or >).
7.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
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