Unit 2 Flashcard Practice:Domain,Cmpd Int,Linear & Expon. Functions

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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 graphs to a straight line. It can be expressed in 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 = ab^x, where a is a constant, b is the base, and x is the exponent. It shows rapid growth or decay.
3.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope represents the rate of change of the function. It indicates how much y changes for a unit change in x.
4.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear equation?
Back
The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.
5.
FLASHCARD QUESTION
Front
How do you identify a linear function from a graph?
Back
A linear function will graph as a straight line. If the graph curves or has a changing slope, it is not linear.
6.
FLASHCARD QUESTION
Front
What does the equation y = mx + b represent?
Back
This equation represents a linear function, where m is the slope and b is the y-intercept.
7.
FLASHCARD QUESTION
Front
What is the difference between a linear and an exponential growth?
Back
Linear growth increases by a constant amount, while exponential growth increases by a constant percentage, leading to faster growth over time.
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