linear or non-linear?

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Mathematics
•
7th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that creates a straight line when graphed. It has a constant rate of change, meaning it adds or subtracts the same value for each step.
2.
FLASHCARD QUESTION
Front
What is a non-linear function?
Back
A non-linear function is a function that does not create a straight line when graphed. It can change at different rates, such as multiplying or using exponents.
3.
FLASHCARD QUESTION
Front
What does it mean for a function to have a constant pattern?
Back
A constant pattern means that the function changes by the same amount each time, which is characteristic of linear functions.
4.
FLASHCARD QUESTION
Front
What is the difference between linear and non-linear functions?
Back
Linear functions have a constant rate of change and graph as straight lines, while non-linear functions have varying rates of change and graph as curves or other shapes.
5.
FLASHCARD QUESTION
Front
Give an example of a linear function in real life.
Back
An example of a linear function is the cost of a meal that charges a fixed delivery fee plus a constant price per person.
6.
FLASHCARD QUESTION
Front
Give an example of a non-linear function in real life.
Back
An example of a non-linear function is the growth of a population, which can double over time, leading to exponential growth.
7.
FLASHCARD QUESTION
Front
What is the formula for a linear function?
Back
The formula for a linear function is usually written as y = mx + b, where m is the slope and b is the y-intercept.
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