What is a linear function?
Identifying Linear Functions & Function Notation

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Mathematics
•
7th 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 notation f(x) represent?
Back
f(x) represents the output of the function f for a given input x. It is a way to express the relationship between the input and output of a function.
3.
FLASHCARD QUESTION
Front
How do you find the slope of a linear function?
Back
The slope (m) of a linear function can be found by taking the change in y (rise) over the change in x (run) between two points on the line.
4.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear function?
Back
The y-intercept is the point where the graph of the function crosses the y-axis. It is represented by the value of b in the function f(x) = mx + b.
5.
FLASHCARD QUESTION
Front
If f(x) = 3/2 x - 4, what is f(0)?
Back
f(0) = 3/2(0) - 4 = -4.
6.
FLASHCARD QUESTION
Front
If f(x) = 3/2 x - 4, what is the input (x) if f(x) = 2?
Back
To find x, set 2 = 3/2 x - 4. Solving gives x = 4.
7.
FLASHCARD QUESTION
Front
What is the definition of a function?
Back
A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.
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