Math Problem Statement

A part of a linear function is shown on the grid.

What is the range of the part of the linear function shown?

Choose the correct answer from each drop-down menu to complete the sentence.

The range is the set of all real numbers (Select)greater than or equal to -4greater than or equal to -2greater than -4greater than -2

(Select) 

  and (Select)less than or equal to 2less than or equal to 3less than 2less than 3

(Select) 

 .

Solution

To determine the correct range of the part of the linear function shown on a grid, we need to focus on the y-values that the function takes within the displayed section. Here's how to proceed:

  1. Identify the y-values: The range of a function refers to the set of all possible y-values that the function can have. You need to locate the minimum and maximum y-values of the segment shown on the grid.

  2. Select the range boundaries: From the description, it looks like you have several options to choose from, with limits related to specific values such as -4, -2, 2, and 3.

Let's break down your sentence options to complete it.

The range is the set of all real numbers:

  1. First part: You will select between “greater than or equal to -4” or “greater than or equal to -2,” depending on the lowest y-value seen on the grid.

  2. Second part: You will select between “less than or equal to 2” or “less than or equal to 3,” depending on the highest y-value visible.

Without the actual grid image, my suggestion is to visually inspect the function and see where the y-values begin and end.

Would you like to upload the image for further analysis?

Related questions:

  1. How do you determine the range of any linear function?
  2. What is the domain of a function and how is it different from the range?
  3. How does the slope of a linear function affect its range?
  4. Can a linear function have a range that includes infinity?
  5. What are the properties of continuous versus discrete ranges in linear functions?

Tip: Always look for the highest and lowest points on the y-axis when identifying the range of a function.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Range of a Function

Formulas

Range: Set of possible y-values
Linear function: y = mx + b

Theorems

Range of a linear function

Suitable Grade Level

Grades 7-10