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Chapter 2: Q. 48 (page 69)

In Problems 47– 62, find the domain of each function.
$f (x) = x^{2} + 2$

Short Answer

Expert verified

The domain of the given function is the set of all real numbers.

Step by step solution

Step 1. Given Information

In the given problems we have to find the domain of given function.

$f (x) = x^{2} + 2$

Step 2. The function tells us to square a number and then add two.

Since these operations can be performed on any real number, we conclude that the domain of $f$ is the set of all real numbers.

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Most popular questions from this chapter

In Problems 7–18, match each graph to one of the following functions:

$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$

If $x = - 2$ , the value of the expression $3 x^{2} - 5 x + \frac{1}{x}$ is _______.

The intercepts of the equation $y = x^{2} - 9$ are

True or False The cube function is odd and is increasing on the interval $(- \infty, \infty)$ .

Write the point–slope form of the line with slope 5 containing the point (3, -2).

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In Problems 47– 62, find the domain of each function.
$f (x) = x^{2} + 2$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. The function tells us to square a number and then add two.

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Most popular questions from this chapter

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In Problems 47– 62, find the domain of each function.f(x)=x2+2

Short Answer

Step by step solution

Step 1. Given Information

Step 2. The function tells us to square a number and then add two.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Probability and Statistics

Applied Mathematics

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In Problems 47– 62, find the domain of each function.
$f (x) = x^{2} + 2$