What is the composition of functions?
1314 - Function Final Review

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Mathematics
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University
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The composition of functions, denoted as \( (g \circ f)(x) \), is the application of one function to the results of another. It is defined as \( g(f(x)) \).
2.
FLASHCARD QUESTION
Front
How do you find the domain of a function?
Back
The domain of a function is the set of all possible input values (x-values) for which the function is defined. To find the domain, identify any restrictions such as division by zero or square roots of negative numbers.
3.
FLASHCARD QUESTION
Front
What is the range of a function?
Back
The range of a function is the set of all possible output values (y-values) that the function can produce based on its domain.
4.
FLASHCARD QUESTION
Front
What does an augmented matrix represent?
Back
An augmented matrix represents a system of linear equations, where each row corresponds to an equation and the last column represents the constants from the equations.
5.
FLASHCARD QUESTION
Front
How do you solve a system of linear equations using an augmented matrix?
Back
You can solve a system of linear equations using row operations to reduce the augmented matrix to row-echelon form or reduced row-echelon form, then interpret the results to find the values of the variables.
6.
FLASHCARD QUESTION
Front
What is the significance of the vertical line test?
Back
The vertical line test is a method to determine if a curve is a function. If any vertical line intersects the curve more than once, the curve is not a function.
7.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be expressed in the form \( f(x) = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
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