Math Grade 8 Quiz Comparing Properties of Functions Represented in Different Ways – 8.F.A.2
The core idea is to equip students with the skill to compare and analyze the properties of functions that are presented in various formats. This includes recognizing patterns and relationships in tables, understanding the implications of graphical data, deriving information from algebraic expressions, and interpreting verbal descriptions of functions. By examining these different representations, students can discern key features such as the rate of change and determine the nature and behavior of the functions in question.
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Question 1 of 10
1. Question
Given the table below, which represents a linear function:
x y 1 3 2 5 3 7 And the algebraic expression: y = 2x + 1
Which representation has a greater rate of change?
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Question 2 of 10
2. Question
The graph of function A is a straight line passing through the points (0,0) and (2,4). Function B is described verbally as “For every 1 unit increase in x, y increases by 3 units.” Which function has a steeper slope?
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Question 3 of 10
3. Question
An algebraic expression describes a function as y = x^2. How is this function different from a linear function?
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Question 4 of 10
4. Question
Consider two functions. Function A is represented by the table:
x y 1 2 2 4 3 6 Function B is given by the expression y = 3x. Which function has a greater rate of change?
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Question 5 of 10
5. Question
A graph shows a horizontal line passing through the point (2,5). What does this imply about the function?
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Question 6 of 10
6. Question
Given the verbal description: “A car travels at a constant speed, covering 50 miles every hour.” Which of the following best represents this?
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Question 7 of 10
7. Question
The equation y = 5 represents which type of function when graphed?
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Question 8 of 10
8. Question
A function is represented by a graph that starts at the point (0,3) and goes downward, passing through (1,1) and (2, -1). What can be said about its rate of change?
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Question 9 of 10
9. Question
Which of the following is NOT a linear function?
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Question 10 of 10
10. Question
If two functions are represented by the same straight line graph, what can be concluded?
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