
Algebra Semester Review
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an absolute value function?
Back
An absolute value function is a function that outputs the non-negative value of its input. The parent function is represented as f(x) = |x|.
2.
FLASHCARD QUESTION
Front
What does the transformation g(x) = |3x - 4| + 5 represent?
Back
This function represents a horizontal shift to the right by 4/3 units and a vertical shift upwards by 5 units from the parent function f(x) = |x|.
3.
FLASHCARD QUESTION
Front
How do you express the domain of the function f(x) = \frac{(x+6)}{3} in interval notation?
Back
The domain is (-∞, ∞) because there are no restrictions on the values of x.
4.
FLASHCARD QUESTION
Front
What is the range of the function f(x) = \frac{(x+6)}{3}?
Back
The range is also (-∞, ∞) because the function can take any real number value.
5.
FLASHCARD QUESTION
Front
What is a matrix representation of a system of equations?
Back
A matrix representation organizes the coefficients of the variables in a rectangular array. For example, the system represented by [5, 4, -1, 1], [2, -2, 1, 1], [-1, -1, 1, 2] corresponds to a system of equations.
6.
FLASHCARD QUESTION
Front
What does it mean if an equation has a maximum value?
Back
An equation has a maximum value if the highest point of its graph is at that value, indicating that the function does not exceed this value.
7.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a quadratic function?
Back
The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.
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