Compare Linear, Quadratic, & Exponential Functions

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•
Mathematics
•
9th Grade
•
Hard
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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 f(x) = 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 f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
3.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base (a positive real number), and x is the exponent.
4.
FLASHCARD QUESTION
Front
How can you identify a linear function from a table of values?
Back
A linear function will have a constant difference between consecutive y-values for equal intervals of x.
5.
FLASHCARD QUESTION
Front
How can you identify a quadratic function from a table of values?
Back
A quadratic function will have a constant second difference between the y-values when the x-values are equally spaced.
6.
FLASHCARD QUESTION
Front
How can you identify an exponential function from a table of values?
Back
An exponential function will have a constant ratio between consecutive y-values for equal intervals of x.
7.
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 opens upwards if a > 0 and downwards if a < 0.
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