Chapter 2: Q. 27 (page 69)

Determine whether the equation defines y as a function of $x$ .
$y = x^{2}$

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.

$y = x^{2}$

Step 2. The given equation is y=x2

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 $y = {(1)}^{2} = 1$ .

If $x = 3$ , then $y = {(3)}^{2} = 9$ .

For this reason, the equation is a function.

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Determine whether the equation defines y as a function of $x$ .
$y = x^{2}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given equation is y=x2

Step 3. For example,

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Determine whether the equation defines y as a function of x.y=x2

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given equation is y=x2

Step 3. For example,

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Determine whether the equation defines y as a function of $x$ .
$y = x^{2}$