Chapter 2: Q. 35 (page 69)

Determine whether the equation defines y as a function of $x$ .
$y = 2 x^{2} - 3 x + 4$

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.

$y = 2 x^{2} - 3 x + 4$

Step 2. The given equation is y=2x2-3x+4

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="1645889500415" $y = 2 {(1)}^{2} - 3 \times 1 + 4 y = 2 - 3 + 4 y = 3$ .

If $x = 2$ , then

role="math" localid="1645889543035" $y = 2 {(2)}^{2} - 3 \times 2 + 4 y = 2 \times 4 - 6 + 4 y = 8 - 6 + 4 y = 6$ .

For this reason, the equation is a function.

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Determine whether the equation defines y as a function of $x$ .
$y = 2 x^{2} - 3 x + 4$

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given equation is y=2x2-3x+4

Step 3. For example,

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Determine whether the equation defines y as a function of x.y=2x2-3x+4

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given equation is y=2x2-3x+4

Step 3. For example,

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Applied Mathematics

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Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Determine whether the equation defines y as a function of $x$ .
$y = 2 x^{2} - 3 x + 4$