Function Type From Tables

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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 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. It shows rapid growth or decay.
3.
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. Its graph is a parabola.
4.
FLASHCARD QUESTION
Front
What is a logarithmic function?
Back
A logarithmic function is the inverse of an exponential function, typically in the form y = log_b(x), where b is the base. It grows slowly compared to linear and exponential functions.
5.
FLASHCARD QUESTION
Front
How can you identify a linear function from a table of values?
Back
A linear function will have a constant rate of change, meaning the difference between consecutive y-values is the same for equal intervals of x.
6.
FLASHCARD QUESTION
Front
How can you identify an exponential function from a table of values?
Back
An exponential function will show a constant multiplicative rate of change, meaning each y-value is a constant multiple of the previous y-value for equal intervals of x.
7.
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 in the y-values when the x-values are evenly spaced.
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