Linear Functions
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear function?
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.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
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 output value (y) changes for a unit change in the input value (x).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear function?
Back
The y-intercept is the value of the function when the input (x) is zero. It is the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
How do you determine if a relation is a function?
Back
A relation is a function if each input value (x) is associated with exactly one output value (y). This can be checked using the vertical line test on its graph.
5.
FLASHCARD QUESTION
Front
What is the equation of a linear function that includes a start-up fee and a monthly fee?
Back
The equation can be represented as Y = b + mx, where b is the start-up fee and m is the monthly fee.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
If a gym charges a start-up fee of $40 and a monthly fee of $10, what is the output when x = 3?
Back
The output is Y = 40 + 10(3) = 70.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
7.
FLASHCARD QUESTION
Front
What are appropriate input values for the gym membership function Y = 40 + 10x?
Back
Appropriate input values are non-negative integers: 0, 1, 2, 3, ... (representing the number of months).
Tags
CCSS.HSF.IF.A.2
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