Q1. Explain Why fx=x+22 is a linear ... [FREE SOLUTION]

Chapter 2: Q1. (page 65)

Explain Why $f (x) = \frac{x + 2}{2}$ is a linear function.

Short Answer

Expert verified

The given function $f (x) = \frac{x + 2}{2}$ is a linear function because it can be defined in the form of $f (x) = m x + b$ .

Step by step solution

– Definition of linear function.

A function $f (x)$ is a linear function if it can be defined as:

$f (x) = m x + b$

Where m,b are real numbers, m is the slope and b is the y-intercept of the function.

– Given information

The given function is:

$f (x) = \frac{x + 2}{2}$

– Explanation for the given problem.

The given function can be defined as:

$\begin{matrix} f (x) = \frac{x}{2} + \frac{2}{2} \\ f (x) = 0.5 x + 1 \end{matrix}$

The above function is in the form of $f (x) = m x + b$ , where m=0.5 and b=1.

Thus, the given function $f (x) = \frac{x + 2}{2}$ is a linear function because it can be defined in the form of $f (x) = m x + b$ .

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Explain Why $f (x) = \frac{x + 2}{2}$ is a linear function.

Short Answer

Step by step solution

– Definition of linear function.

– Given information

– Explanation for the given problem.

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91影视

Explain Why fx=x+22 is a linear function.

Short Answer

Step by step solution

– Definition of linear function.

– Given information

– Explanation for the given problem.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Statistics

Logic and Functions

Mechanics Maths

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Explain Why $f (x) = \frac{x + 2}{2}$ is a linear function.