Math Problem Statement
If f(x) = 2x + 1, what would the function look like once you substitute in a 1 to find f(1)?
Solution
The question asks to evaluate the function by substituting to find .
Let's go through it step-by-step:
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Start with the function:
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Substitute to find :
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Calculate the expression:
The correct choice that matches this setup is:
- f(1) = 2(1) + 1
This is the middle (green) option on the screen.
Would you like a further breakdown or have additional questions on this?
Here are five related questions to deepen understanding:
- What would the function look like if you substituted instead?
- How do you interpret the value of in a real-world context if this function represents a scenario?
- What would be the result if the function were and you substituted ?
- How do you determine if a function is linear, like ?
- How would the function change if the constant were increased to 2, making it ?
Tip: When substituting values into a function, carefully replace only the variable, and keep the rest of the function's structure the same.
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Math Problem Analysis
Mathematical Concepts
Algebra
Function Evaluation
Formulas
f(x) = 2x + 1
Theorems
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Suitable Grade Level
Grades 6-8