Linear + Exponential Functions Review

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of a linear function?
Back
A linear function is a function that can be graphically represented in the Cartesian plane 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 the definition of 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. The graph of an exponential function is a curve that increases or decreases rapidly.
3.
FLASHCARD QUESTION
Front
How can you identify a linear function from its equation?
Back
A linear function can be identified by its equation, which will be in the form f(x) = mx + b. If the highest power of x is 1, it is linear.
4.
FLASHCARD QUESTION
Front
How can you identify an exponential function from its equation?
Back
An exponential function can be identified by its equation, which will be in the form f(x) = a * b^x. If the variable x is in the exponent, it is exponential.
5.
FLASHCARD QUESTION
Front
What is the difference between discrete and continuous data?
Back
Discrete data consists of distinct or separate values (e.g., number of students), while continuous data can take any value within a range (e.g., height, weight).
6.
FLASHCARD QUESTION
Front
What is an explicit equation?
Back
An explicit equation is a mathematical expression that defines a function directly in terms of its independent variable, allowing for the calculation of output values for given input values.
7.
FLASHCARD QUESTION
Front
What is the explicit equation for a linear function with a slope of 2 and a y-intercept of 1?
Back
f(x) = 2x + 1.
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