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:
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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.
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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:
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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.
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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:
- How do you determine the range of any linear function?
- What is the domain of a function and how is it different from the range?
- How does the slope of a linear function affect its range?
- Can a linear function have a range that includes infinity?
- 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