Math Problem Statement
Use the function rule to complete the table. The output (y) is 2 less than 4 times the input (x).
Solution
The problem states that the output is "2 less than 4 times ." This can be written as the function:
Using this function, let's calculate for each input in the table:
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For :
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For :
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For :
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For :
Now, we can complete the table:
\hline \text{Input } (x) & \text{Output } (y) \\ \hline -1 & -6 \\ 0 & -2 \\ 1 & 2 \\ 2 & 6 \\ \hline \end{array}$$ Would you like further details on how the function rule works, or have any questions? Here are some related questions to deepen your understanding: 1. What would the output be if $$x = 3$$? 2. How would the function change if it was "3 less than 5 times $$x$$"? 3. Can you identify the slope and y-intercept of the function $$y = 4x - 2$$? 4. How does the output change as $$x$$ increases by 1? 5. What if the function rule was instead "4 times $$x$$ less 2"? **Tip:** When working with function rules, always substitute the given input values carefully to calculate the output accurately.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Linear Equations
Formulas
y = 4x - 2
Theorems
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Suitable Grade Level
Grades 6-8