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

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Question: If f(x) = 2x^2 + 3x - 5, what is f(-1)?

Options:

  1. -4
  2. -2
  3. 0
  4. 2

Correct Answer: -2

Solution: 

f(-1) = 2(-1)^2 + 3(-1) - 5 = 2 - 3 - 5 = -6.

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

Practice Questions

Q1
If f(x) = 2x^2 + 3x - 5, what is f(-1)?
  1. -4
  2. -2
  3. 0
  4. 2

Questions & Step-by-Step Solutions

If f(x) = 2x^2 + 3x - 5, what is f(-1)?
  • Step 1: Identify the function f(x) = 2x^2 + 3x - 5.
  • Step 2: Substitute -1 for x in the function: f(-1) = 2(-1)^2 + 3(-1) - 5.
  • Step 3: Calculate (-1)^2, which is 1.
  • Step 4: Multiply 2 by 1: 2 * 1 = 2.
  • Step 5: Calculate 3 * (-1), which is -3.
  • Step 6: Now combine the results: f(-1) = 2 - 3 - 5.
  • Step 7: First, do 2 - 3, which equals -1.
  • Step 8: Then, do -1 - 5, which equals -6.
  • Step 9: Therefore, f(-1) = -6.
  • 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 terms.
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