Evaluating Limits and Expressions

Evaluating Limits and Expressions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to evaluate limits of rational functions as they approach infinity. It involves dividing both the numerator and the denominator by the highest power of the denominator, multiplying by the reciprocal of this power, and then substituting infinity to find the limit. The example provided results in a limit of minus two.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when dealing with a limit that approaches infinity in a rational function?

Divide both the numerator and denominator by the highest power of X in the denominator

Subtract infinity from the numerator

Multiply the numerator by infinity

Add infinity to both the numerator and denominator

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a rational function?

A function with only constants

A function with no variables

A function that is a fraction with variables in the denominator and possibly in the numerator

A function with variables only in the numerator

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we divide both the numerator and the denominator by the order of the denominator?

To make the function more complex

To eliminate the variables

To simplify the expression and evaluate the limit

To increase the value of the limit

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the order of the denominator in the given example?

Three

Four

Two

One

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the order of the numerator in the given example?

One

Two

Three

Four

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do we multiply the numerator and denominator by to simplify the expression?

1 over X squared

1 over X

1 over X cubed

1 over X to the fourth

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent of the square root of one over X to the sixth?

One over X cubed

One over X squared

One over X

One over X to the fourth

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