Chapter 11: Q6. (page 699)

State the excluded value for the function.
$y = \frac{2}{x}$

Short Answer

Expert verified

The excluded value for the function $y = \frac{2}{x}$ is $x = 0$ .

Step by step solution

Step 1. Define a rational function.

A function of the form $y = \frac{p}{q}$ is called a rational function, where $p$ and $q$ are the polynomials and $q \neq 0$ .

Step 2. Define quotient of power rule.

The quotient of power rule is given by

$\frac{a^{m}}{a^{n}} = a^{m - n}$

Where, is any non-zero real number.

Step 3. Define the excluded values for the rational function.

Any value of a variable that results in a denominator of zero in a rational function is excluded from the domain of the function and these values are called the excluded values of the rational function.

Step 4. Simplify the expression 16x2y38xy.

Use quotient of power rule to simplify the expression .

Denominator $= 0$

$x = 0$

Therefore the excluded value for the function role="math" localid="1648016402847" $y = \frac{2}{x}$ is $x = 0$ .

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State the excluded value for the function.
$y = \frac{2}{x}$

Short Answer

Step by step solution

Step 1. Define a rational function.

Step 2. Define quotient of power rule.

Step 3. Define the excluded values for the rational function.

Step 4. Simplify the expression 16x2y38xy.

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$x$	1	2	5
$y$	10	5	2

State the excluded value for the function.y=2x

Short Answer

Step by step solution

Step 1. Define a rational function.

Step 2. Define quotient of power rule.

Step 3. Define the excluded values for the rational function.

Step 4. Simplify the expression 16x2y38xy.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Logic and Functions

Geometry

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

State the excluded value for the function.
$y = \frac{2}{x}$