Which statement about the graph of $$y=\frac{x^2+x-12}{x-3}$$ is true?

There is a hole at $$\left(3, 7\right)$$ .

What is a horizontal asymptote?

A horizontal line $$y=b$$ that a function approaches as $$x$$ approaches infinity.

What does it mean for a function to be continuous?

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

What is the difference between a hole and a vertical asymptote in a graph?

A hole occurs where a function is undefined but can be simplified, while a vertical asymptote indicates a point where the function approaches infinity.

How do you find the domain of a rational function?

Set the denominator equal to zero and solve for $$x$$ ; the domain is all real numbers except these values.

What is the significance of the x-intercept of a function?

The x-intercept is the point where the graph crosses the x-axis, indicating where the function equals zero.

What is the significance of the y-intercept of a function?

The y-intercept is the point where the graph crosses the y-axis, indicating the value of the function when $$x=0$$ .

What is the process for simplifying a complex fraction?

Multiply by the reciprocal of the denominator and simplify the resulting expression.

What is the definition of a polynomial function?

A function that is represented by a polynomial expression, which is a sum of terms consisting of variables raised to non-negative integer powers.

12/11 Flashcardizz Benchmark Qtr 2 Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Select the equation represented by the graph.

Back

3.

FLASHCARD QUESTION

Front

What is the domain of the function that takes 60 minutes to make a cake for 6 cakes?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the equation of the function graphed?

Back

6.

FLASHCARD QUESTION

Front

What is the definition of a rational function?

Back

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

7.

FLASHCARD QUESTION

Front

What is a vertical asymptote?

Back

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