Compare Linear, Quadratic, and Exponential Functions

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•
Mathematics
•
8th 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 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) = ax^2 + 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 a positive real number, and x is the exponent.
4.
FLASHCARD QUESTION
Front
How can you identify an exponential function from its equation?
Back
An exponential function can be identified by the variable being in the exponent, such as in f(x) = 2(5)^x.
5.
FLASHCARD QUESTION
Front
What are the characteristics of a linear function's graph?
Back
The graph of a linear function is a straight line, has a constant slope, and can intersect the y-axis at one point.
6.
FLASHCARD QUESTION
Front
What are the characteristics of a quadratic function's graph?
Back
The graph of a quadratic function is a parabola, which can open upwards or downwards, and has a vertex, axis of symmetry, and may have zero, one, or two x-intercepts.
7.
FLASHCARD QUESTION
Front
What are the characteristics of an exponential function's graph?
Back
The graph of an exponential function increases or decreases rapidly, has a horizontal asymptote, and never touches the x-axis.
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