Master Graphing Rational Functions Part 7 with Oblique Asymptotes

Master Graphing Rational Functions Part 7 with Oblique Asymptotes

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

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The video tutorial explains how to graph rational functions with slant or oblique asymptotes. It covers testing for symmetry, finding X and Y intercepts, determining vertical and slant asymptotes, and graphing the function. An example problem is solved to illustrate the process.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing a rational function with slant asymptotes?

Identify the X and Y intercepts

Use long division

Test for symmetry

Find the vertical asymptotes

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine if a function has symmetry about the Y-axis?

Substitute F of X with F of negative X and check if the function is negated

Substitute F of X with F of negative X and check if the function remains unchanged

Check if the function is even

Check if the function is odd

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when you replace X with zero to find the Y-intercept?

The function's value at X equals zero

The function's value at Y equals zero

The function's value at X equals one

The function's value at Y equals one

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the condition for a vertical asymptote in a rational function?

The numerator is greater than the denominator

The denominator is greater than the numerator

The denominator equals zero

The numerator equals zero

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is there no horizontal asymptote when the degree of the numerator is larger than the degree of the denominator?

Because the function is undefined

Because the function is quadratic

Because the function has a slant asymptote instead

Because the function is linear

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to find the slant asymptote of a rational function?

Synthetic division

Completing the square

Long division

Factoring

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation of the slant asymptote found using long division in the video?

y = X - 2

y = X - 1

y = X + 1

y = X + 2

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