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If f(x) = 2x^2 - 3x + 1, what is f(2)?

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Question: If f(x) = 2x^2 - 3x + 1, what is f(2)?

Options:

  1. 1
  2. 3
  3. 5
  4. 7

Correct Answer: 5

Solution: 

f(2) = 2(2^2) - 3(2) + 1 = 8 - 6 + 1 = 3.

If f(x) = 2x^2 - 3x + 1, what is f(2)?

Practice Questions

Q1
If f(x) = 2x^2 - 3x + 1, what is f(2)?
  1. 1
  2. 3
  3. 5
  4. 7

Questions & Step-by-Step Solutions

If f(x) = 2x^2 - 3x + 1, what is f(2)?
Correct Answer: 3
  • Step 1: Identify the function f(x) = 2x^2 - 3x + 1.
  • Step 2: Substitute x with 2 in the function: f(2) = 2(2^2) - 3(2) + 1.
  • Step 3: Calculate 2^2, which is 4.
  • Step 4: Multiply 2 by 4: 2 * 4 = 8.
  • Step 5: Calculate -3 * 2, which is -6.
  • Step 6: Now combine the results: 8 - 6 + 1.
  • Step 7: First, do 8 - 6, which equals 2.
  • Step 8: Finally, add 1 to 2: 2 + 1 = 3.
  • Function Evaluation – The process of substituting a specific value into a function to find the corresponding output.
  • Quadratic Functions – Understanding the structure and components of a quadratic function, including coefficients and their roles.
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