Types of Functions FLASHCARD

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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What is a quadratic function?
Back
A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c, where a, b, and c are constants.
3.
FLASHCARD QUESTION
Front
What is the general shape of a quadratic function's graph?
Back
The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of the coefficient a.
4.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point of the parabola, depending on its orientation. It can be found using the formula x = -b/(2a) for the x-coordinate.
5.
FLASHCARD QUESTION
Front
What is the domain of a quadratic function?
Back
The domain of all quadratic functions is all real numbers, represented as (-∞, ∞).
6.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form y = a * b^x, where a is a constant, b is the base (a positive real number), and x is the exponent.
7.
FLASHCARD QUESTION
Front
What is the general shape of an exponential function's graph?
Back
The graph of an exponential function increases rapidly (if b > 1) or decreases rapidly (if 0 < b < 1) as x moves away from the y-axis.
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