Function Notation
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is function notation?
Back
Function notation is a way to represent a function using symbols. It typically uses the letter 'f' followed by the variable in parentheses, such as f(x), to denote the output of the function for a given input x.
2.
FLASHCARD QUESTION
Front
How do you evaluate a function at a specific value?
Back
To evaluate a function at a specific value, substitute the value into the function's equation in place of the variable. For example, if f(x) = 2x + 3 and you want to find f(2), substitute 2 for x: f(2) = 2(2) + 3 = 7.
3.
FLASHCARD QUESTION
Front
What does it mean if f(x) = k for some constant k?
Back
If f(x) = k, it means that the output of the function f for the input x is equal to the constant k. This indicates a specific point on the graph of the function.
4.
FLASHCARD QUESTION
Front
How do you find the x-value when given f(x)?
Back
To find the x-value when given f(x) = k, set the function equal to k and solve for x. For example, if f(x) = 3x + 1 and f(x) = 7, set 3x + 1 = 7 and solve for x.
5.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear function?
Back
The slope-intercept form of a linear function is given by the equation y = mx + b, where m is the slope and b is the y-intercept.
6.
FLASHCARD QUESTION
Front
How do you find the y-value for a given x in a linear function?
Back
To find the y-value for a given x in a linear function, substitute the x value into the function's equation and solve for y. For example, if y = 4x - 1 and x = 2, then y = 4(2) - 1 = 7.
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear function?
Back
The y-intercept is the point where the graph of the function crosses the y-axis. It represents the value of y when x = 0.
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