8.6.5 HOMEWORK - Increasing and Decreasing Functions
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Mathematics
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8th Grade
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Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is an increasing function?
Back
A function is increasing on an interval if, for any two points x1 and x2 in that interval, where x1 < x2, the function value at x1 is less than the function value at x2 (f(x1) < f(x2)).
2.
FLASHCARD QUESTION
Front
What is a decreasing function?
Back
A function is decreasing on an interval if, for any two points x1 and x2 in that interval, where x1 < x2, the function value at x1 is greater than the function value at x2 (f(x1) > f(x2)).
3.
FLASHCARD QUESTION
Front
What is a constant function?
Back
A constant function is a function that does not change its value; it has the same output for every input (f(x) = c, where c is a constant).
4.
FLASHCARD QUESTION
Front
What does the slope (m) in the equation y = mx + b represent?
Back
The slope (m) represents the rate of change of the function; it indicates how much y changes for a unit change in x.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What does the y-intercept (b) in the equation y = mx + b represent?
Back
The y-intercept (b) is the point where the line crosses the y-axis (when x = 0).
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
How can you determine if a function is increasing or decreasing from its graph?
Back
If the graph rises as you move from left to right, the function is increasing. If it falls, the function is decreasing.
7.
FLASHCARD QUESTION
Front
What is the definition of an interval in mathematics?
Back
An interval is a range of values between two endpoints, which can be open (not including endpoints) or closed (including endpoints).
Tags
CCSS.6.EE.B.8
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