Podcast
Questions and Answers
Which of the following relations is NOT a function?
Which of the following relations is NOT a function?
- {(1, 2), (2, 3), (1, 4), (4, 5)} (correct)
- {(1, 1), (2, 4), (3, 9), (4, 16)}
- {(1, 2), (2, 2), (3, 2), (4, 2)}
- {(1, 2), (2, 3), (3, 4), (4, 5)}
Given $f(x) = 2x^3 - x + 5$, find $f(-2)$.
Given $f(x) = 2x^3 - x + 5$, find $f(-2)$.
- -9 (correct)
- -15
- -13
- 9
Which of the following functions is a rational function?
Which of the following functions is a rational function?
- $f(x) = \frac{x^2 + 1}{x - 2}$ (correct)
- $f(x) = 3^x$
- $f(x) = 2x^2 - 5x + 3$
- $f(x) = \sqrt{x} + 1$
What is the domain of the function $f(x) = \frac{1}{x - 3}$?
What is the domain of the function $f(x) = \frac{1}{x - 3}$?
Given $f(x) = x + 2$ and $g(x) = x^2 - 4$, find $(f/g)(x)$.
Given $f(x) = x + 2$ and $g(x) = x^2 - 4$, find $(f/g)(x)$.
Which of the following is a polynomial expression?
Which of the following is a polynomial expression?
What is the leading coefficient of the polynomial $5x^4 - 3x^2 + 6x - 2$?
What is the leading coefficient of the polynomial $5x^4 - 3x^2 + 6x - 2$?
Factor the polynomial $x^2 - 5x + 6$.
Factor the polynomial $x^2 - 5x + 6$.
Solve the polynomial equation $x^2 - 4x + 3 = 0$.
Solve the polynomial equation $x^2 - 4x + 3 = 0$.
What is the remainder when $P(x) = x^3 - 2x^2 + x - 5$ is divided by $x - 2$?
What is the remainder when $P(x) = x^3 - 2x^2 + x - 5$ is divided by $x - 2$?
Flashcards
What is a function?
What is a function?
A relation where each input has only one output.
What is the domain of a function?
What is the domain of a function?
The set of all possible input values (x) for a function.
What is the range of a function?
What is the range of a function?
The set of all possible output values (f(x)) that a function can produce.
Linear Function
Linear Function
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Quadratic Function
Quadratic Function
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Polynomial Function
Polynomial Function
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Polynomial Expression
Polynomial Expression
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Coefficient
Coefficient
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Degree of a Polynomial
Degree of a Polynomial
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Factoring Polynomials
Factoring Polynomials
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Study Notes
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