Pre-Test UB SUMMER ACADEMY

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Mathematics
•
University
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the minimum value of the function f(x) = x² - 7?
Back
-7
2.
FLASHCARD QUESTION
Front
What is the composition of functions (g∘f)(x) if f(x) = 2x + 1 and g(x) = 3x + 2?
Back
6x + 5
3.
FLASHCARD QUESTION
Front
Multiply the polynomials (x³ - x² - 5)(-x - 3). What is the result?
Back
-x⁴ - 2x³ + 3x² + 5x + 15
4.
FLASHCARD QUESTION
Front
What is the degree of the expression x⁵z² + 7?
Back
7
5.
FLASHCARD QUESTION
Front
Write the equation representing the total cost y for x people going on a cruise that costs $800 per person with a $150 booking fee.
Back
y = 800x + 150
6.
FLASHCARD QUESTION
Front
What is the definition of a polynomial function?
Back
A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.
7.
FLASHCARD QUESTION
Front
What is the difference between a linear function and a quadratic function?
Back
A linear function has the form f(x) = mx + b, where m and b are constants, while a quadratic function has the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
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