What are the solutions to the equation $$x^2 - 5x + 6 = 0$$ ?

The solutions are $$x = 2$$ and $$x = 3$$ .

Determine the location of the vertical asymptotes for $$y=\frac{x^2+3x+2}{x^2+x-2}$$ .

The vertical asymptotes are at $$x = 1$$ and $$x = -2$$ .

What is the vertex of a parabola represented by the equation $$y = ax^2 + bx + c$$ ?

The vertex can be found using the formula $$x = -\frac{b}{2a}$$ .

What is the significance of the leading coefficient in a polynomial function?

The leading coefficient determines the end behavior of the graph of the polynomial.

What is a rational function?

A rational function is a function that can be expressed as the ratio of two polynomials.

What is the quadratic formula?

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What does it mean for a function to have a zero?

A zero of a function is a value of $$x$$ for which $$f(x) = 0$$ .

What is the difference between a maximum and a minimum in a function?

A maximum is the highest point on the graph, while a minimum is the lowest point.

What is the purpose of factoring a polynomial?

Factoring a polynomial helps to find its zeros and simplify expressions.

What is an asymptote?

An asymptote is a line that a graph approaches but never touches.

Algebra2 Review Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

What is the degree of the function graphed here?

Back

The degree of the function is 5.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

If a zero of a polynomial function has multiplicity 4, what does that mean?

Back

The graph will 'bounce back' at that zero.

5.

FLASHCARD QUESTION

Front

What is a polynomial function?

Back

6.

FLASHCARD QUESTION

Front

What is the difference between a linear function and a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

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