The function is given as \( f(m) = m + 1 \).

To find the **range**, we need to determine all possible output values of \( f(m) \) as \( m \) varies over its domain (all possible values of \( m \)).

Since \( f(m) \) is a linear function and \( m \) can take any real number value, the output \( f(m) \) will also take any real number value. This is because adding 1 to any real number still gives a real number. Thus, the range of \( f(m) = m + 1 \) is:

\[
\text{Range} = \mathbb{R} \quad (\text{all real numbers})
\]

Would you like more details on how to find the range of different types of functions?

Here are five related questions:
1. How do you find the domain of a function like \( f(m) = m + 1 \)?
2. What is the range of the function \( f(m) = 2m + 3 \)?
3. How do you determine the range of a quadratic function?
4. Can a linear function ever have a restricted range?
5. What are the range and domain of \( f(m) = |m| \)?

**Tip:** For linear functions of the form \( f(m) = am + b \), the range is always \( \mathbb{R} \), unless specific domain restrictions are placed.

Learn how to find the range of the linear function f(m) = m + 1. This problem covers key algebraic concepts like linear functions, and explains why the range is all real numbers (R). Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation