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If h(x) = x^3 - 3x, what is the value of h(1)?

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Question: If h(x) = x^3 - 3x, what is the value of h(1)?

Options:

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

Correct Answer: 0

Solution:

h(1) = 1^3 - 3*1 = 1 - 3 = -2.

If h(x) = x^3 - 3x, what is the value of h(1)?

Practice Questions

Q1
If h(x) = x^3 - 3x, what is the value of h(1)?
  1. -2
  2. 0
  3. 1
  4. 2

Questions & Step-by-Step Solutions

If h(x) = x^3 - 3x, what is the value of h(1)?
  • Step 1: Identify the function h(x) which is given as h(x) = x^3 - 3x.
  • Step 2: Substitute the value of x with 1 in the function. This means we will calculate h(1).
  • Step 3: Replace x in the function with 1: h(1) = 1^3 - 3*1.
  • Step 4: Calculate 1^3, which is 1.
  • Step 5: Calculate 3*1, which is 3.
  • Step 6: Now, subtract the result from Step 5 from the result in Step 4: 1 - 3.
  • Step 7: The result of 1 - 3 is -2.
  • Step 8: Therefore, the value of h(1) is -2.
  • Function Evaluation – The question tests the ability to evaluate a polynomial function at a specific point.
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