Final Exam Unit 1 and 2 Review

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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 polynomial function?
Back
A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. The general form is p(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where n is a non-negative integer.
2.
FLASHCARD QUESTION
Front
How do you determine the intervals where a polynomial function is greater than or equal to zero?
Back
To determine the intervals where a polynomial function p(x) is greater than or equal to zero, perform a sign analysis. Find the roots of the polynomial, create a sign chart, and test intervals between the roots to see where the function is positive or zero.
3.
FLASHCARD QUESTION
Front
What is the equivalent form of the function h(x) = 100 * 9^x?
Back
The equivalent form is h(x) = 100 * 3^{2x}, since 9 can be expressed as 3^2.
4.
FLASHCARD QUESTION
Front
What is the least possible degree of a polynomial function g(x)?
Back
The least possible degree of a polynomial function is determined by the highest power of x in the polynomial. For example, if g(x) has a term like x^3, the least degree is 3.
5.
FLASHCARD QUESTION
Front
What does the end behavior of a polynomial function indicate?
Back
The end behavior of a polynomial function describes how the function behaves as x approaches positive or negative infinity. It is determined by the leading term of the polynomial.
6.
FLASHCARD QUESTION
Front
What is the significance of the leading coefficient in a polynomial function?
Back
The leading coefficient affects the end behavior of the polynomial. If it is positive and the degree is even, the function rises on both ends; if it is negative, it falls on both ends.
7.
FLASHCARD QUESTION
Front
How do you find the coefficient of a specific term in a polynomial expansion?
Back
To find the coefficient of a specific term in a polynomial expansion, use the binomial theorem or expand the polynomial and collect like terms.
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