What is the end behavior of the rational function $$f(x) = \frac{x^2 + 9x + 10}{x + 4}$$ ?

As $$x \to -\infty$$ , $$y \to -\infty$$ and as $$x \to \infty$$ , $$y \to \infty$$ .

Given $$f(x) = 2x$$ and $$g(x) = x^2 + 3$$ , find $$f(g(x))$$ .

$$f(g(x)) = 2(x^2 + 3) = 2x^2 + 6$$ .

How do you find the composite function $$f(g(x))$$ ?

Substitute $$g(x)$$ into $$f(x)$$ .

What does it mean for a function to be undefined?

A function is undefined at points where the denominator is zero.

What is the end behavior of polynomial functions?

The behavior of the function as $$x$$ approaches infinity or negative infinity.

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

It determines the end behavior of the polynomial function.

How do you determine the domain of a rational function?

Identify values that make the denominator zero.

What is a composite function?

A function formed by combining two functions, denoted as $$f(g(x))$$ .

What is the horizontal asymptote of a rational function?

A horizontal line that the graph approaches as $$x$$ approaches infinity.

What is the difference between a removable and non-removable discontinuity?

A removable discontinuity can be 'fixed' by redefining the function at that point, while a non-removable cannot.

Algebra II - Unit 5A Review Flashcardizz Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

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Tags

CCSS.HSF-IF.C.7D

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-BF.A.1C

3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-IF.C.7D

5.

FLASHCARD QUESTION

Front

What is a rational function?

Back

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

Tags

CCSS.HSF-IF.C.7D

6.

FLASHCARD QUESTION

Front

Define vertical asymptote.

Back

Tags

CCSS.HSF-IF.C.7D

7.

FLASHCARD QUESTION

Front

What is the difference between a function and a relation?

Back

A function is a relation where each input has exactly one output.

Tags

CCSS.8.F.A.1

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