Chapter 2: Q. 29 (page 69)

Determine whether the equation defines y as a function of $x$ .
$y = \frac{1}{x}$

Short Answer

Expert verified

The given equation is a function.

Step by step solution

Step 1. Given information

In the given question we have to determine whether the equation defines y as a function of x.

$y = \frac{1}{x}$

Step 2. The given equation is y=1x

The equation tells us to take an input $x$ and find their square.

For any input $x$ , these operations yield only one output $y$ .

Step 3. For example,

If $x = 1$ , then role="math" localid="1645888562472" $y = \frac{1}{1} = 1, x \neq 0$ .

If $x = 2$ , then role="math" localid="1645888640793" $y = \frac{1}{2}, x \neq 0$ .

For this reason, the equation is a function.

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Determine whether the equation defines y as a function of $x$ .
$y = \frac{1}{x}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given equation is y=1x

Step 3. For example,

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Short Answer

Step by step solution

Step 1. Given information

Step 2. The given equation is y=1x

Step 3. For example,

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Determine whether the equation defines y as a function of $x$ .
$y = \frac{1}{x}$