Evaluating Functions

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of a function in mathematics?
Back
A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.
2.
FLASHCARD QUESTION
Front
How do you evaluate a function at a specific point?
Back
To evaluate a function at a specific point, substitute the value of the variable into the function's expression and simplify.
3.
FLASHCARD QUESTION
Front
What is the formula for a linear function?
Back
A linear function can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.
4.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope represents the rate of change of the function; it indicates how much the output value changes for a unit change in the input value.
5.
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, representing the output value when the input is zero.
6.
FLASHCARD QUESTION
Front
How do you evaluate a quadratic function?
Back
To evaluate a quadratic function, substitute the value of the variable into the quadratic expression and simplify, following the order of operations.
7.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.
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