Chapter 3: Q 353. (page 344)

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = 2 x .$

Short Answer

Expert verified

Domain of the function is $(- \infty, \infty) .$ Range of the function is $(- \infty, \infty) .$

Step by step solution

Step 1. Given Information

Given that the linear function as $f (x) = 2 x .$

Step 3. Linear function

It is confirmed that the given function is linear. The slope is $m = 2 .$ The y-intercept is $(0, 0) .$

Step 3. Graph of the function

The graph can be drawn using slope and intercept.

Step 4. Domain and Range

Because given function is a constant linear function, domain of constant linear function is all real numbers. Domain of the given function is $(- \infty, \infty) .$ Because given function is a constant linear function, range of linear function is just a constant value. Range of the function is $(- \infty, \infty) .$

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a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = 2 x .$

Short Answer

Step by step solution

Step 1. Given Information

Step 3. Linear function

Step 3. Graph of the function

Step 4. Domain and Range

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a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.f(x)=2x.

Short Answer

Step by step solution

Step 1. Given Information

Step 3. Linear function

Step 3. Graph of the function

Step 4. Domain and Range

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Decision Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = 2 x .$