Find asymptotes and intercepts of a rational function

Find asymptotes and intercepts of a rational function

Assessment

Interactive Video

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Quizizz Content

Mathematics

11th Grade - University

Hard

The video tutorial covers solving a mathematical problem involving a function F(x). It begins with identifying vertical asymptotes by factoring the denominator and using the zero product property. Next, it explains how to determine horizontal asymptotes by comparing the degrees of the numerator and denominator. The tutorial then moves on to finding X-intercepts by setting F(x) to zero and solving the resulting equation. Finally, it demonstrates how to calculate Y-intercepts by substituting zero for X in the function.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the vertical asymptotes of a function?

Set the numerator equal to zero

Set the denominator equal to zero

Find the derivative of the function

Solve for x in the numerator

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is used to factor the denominator when it has four terms?

Factoring by division

Factoring by expansion

Factoring by substitution

Factoring by grouping

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the horizontal asymptote of a rational function?

Compare the coefficients of the highest degree terms

Set the numerator equal to zero

Compare the degrees of the numerator and denominator

Find the roots of the denominator

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the horizontal asymptote of the function if the degree of the numerator is less than the degree of the denominator?

y = x

y = -1

y = 1

y = 0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the x-intercept of a function?

The point where the function crosses the y-axis

The point where the function crosses the x-axis

The point where the function is undefined

The point where the function has a maximum

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the x-intercepts of a rational function?

Set the numerator equal to zero and solve for x

Set the denominator equal to zero and solve for x

Find the derivative and set it to zero

Find the integral and set it to zero

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of a function?

The slope of the function

The maximum value of the function

The value of the function when x = 0

The value of the function when y = 0

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