Evaluating Functions

Flashcard
•
Mathematics
•
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 that assigns exactly one output for each input from a given set, known as the domain.
2.
FLASHCARD QUESTION
Front
What does it mean to evaluate a function at a specific point?
Back
Evaluating a function at a specific point means substituting the input value into the function's formula to find the corresponding output value.
3.
FLASHCARD QUESTION
Front
How do you evaluate f(x) = x^2 for f(-8)?
Back
Substitute -8 into the function: f(-8) = (-8)^2 = 64.
4.
FLASHCARD QUESTION
Front
What is the formula for a quadratic function?
Back
A quadratic function is generally expressed as f(x) = ax^2 + bx + c, where a, b, and c are constants.
5.
FLASHCARD QUESTION
Front
How do you evaluate f(x) = 6x^2 - 4 for f(-1)?
Back
Substitute -1 into the function: f(-1) = 6(-1)^2 - 4 = 6(1) - 4 = 2.
6.
FLASHCARD QUESTION
Front
What is the significance of the coefficient 'a' in a quadratic function?
Back
The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
7.
FLASHCARD QUESTION
Front
How do you find f(-5) for the function f(x) = 3x^2 - 11?
Back
Substitute -5 into the function: f(-5) = 3(-5)^2 - 11 = 3(25) - 11 = 75 - 11 = 64.
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