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For the function f(x) = { x^2, x < 1; 3, x = 1; 2x, x > 1 }, what is the v

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Question: For the function f(x) = { x^2, x < 1; 3, x = 1; 2x, x > 1 }, what is the value of f(1)?

Options:

  1. 1
  2. 2
  3. 3
  4. 4

Correct Answer: 3

Solution: 

By definition, f(1) = 3, as given in the piecewise function.

For the function f(x) = { x^2, x < 1; 3, x = 1; 2x, x > 1 }, what is the v

Practice Questions

Q1
For the function f(x) = { x^2, x < 1; 3, x = 1; 2x, x > 1 }, what is the value of f(1)?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

For the function f(x) = { x^2, x < 1; 3, x = 1; 2x, x > 1 }, what is the value of f(1)?
  • Step 1: Identify the function f(x) which is defined in pieces based on the value of x.
  • Step 2: Look at the specific case when x = 1 in the piecewise function.
  • Step 3: According to the definition, when x = 1, the function f(x) is equal to 3.
  • Step 4: Therefore, the value of f(1) is 3.
  • Piecewise Functions – Understanding how to evaluate functions that have different expressions based on the input value.
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