Which rational function has a horizontal asymptote of $$y=0$$ ?

A rational function has a horizontal asymptote of $$y=0$$ if the degree of the numerator is less than the degree of the denominator.

What is the value of $$\text{sin}(90^\text{degree})$$ ?

The value of $$\text{sin}(90^\text{degree})$$ is 1.

How do you find the inverse of a function?

To find the inverse of a function $$f(x)$$ , swap the roles of $$x$$ and $$y$$ in the equation $$y = f(x)$$ and solve for $$y$$ .

What is the inverse of the function $$f(x) = \frac{1}{2}x - 7$$ ?

The inverse is $$f^{-1}(x) = 2(x + 7)$$ .

What is polynomial division?

Polynomial division is a method used to divide a polynomial by another polynomial, similar to long division with numbers.

What is the significance of the degree of a polynomial?

The degree of a polynomial indicates the highest power of the variable in the polynomial and determines its end behavior.

What is a rational function?

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

What is the formula for finding the volume of a sphere?

The volume $$V$$ of a sphere is given by the formula $$V = \frac{4}{3} \text{πr}^3$$ , where $$r$$ is the radius.

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 relationship between the degrees of the numerator and denominator in rational functions?

The degree of the numerator and denominator determines the horizontal asymptote and the end behavior of the rational function.

NC Math 3 EOC Review #1 Flashcard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Remainder Theorem?

Back

2.

FLASHCARD QUESTION

Front

How do you find the remainder when dividing polynomials?

Back

You can use polynomial long division or synthetic division to find the remainder when dividing one polynomial by another.

3.

FLASHCARD QUESTION

Front

What is a horizontal asymptote?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cylinder?

Back

6.

FLASHCARD QUESTION

Front

What is the Unit Circle?

Back

The Unit Circle is a circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions.

7.

FLASHCARD QUESTION

Front

Back

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