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Math Asked by a SnapAndSolve user · about 1 hour ago

Which of the functions above has a minimum?

1. Which of the functions above has a minimum? ____________ (15 pts)
2. What is the domain of f(x)? ____________ (20 pts)
3. What is the range of g(x)? ____________ (20 pts)
4. Which of the functions has a maximum at (-4, 3)? ____________ (15 pts)
5. Identify the x-intercept(s) of g(x): ____________ (20 pts)
6. Identify the y-intercept(s) of f(x): ____________ (10 pts)

Answer

  1. g(x) has a minimum because it is a square root function that opens upwards.

  2. The domain of f(x) is x ≥ 4 because the expression under the square root must be non-negative.

  3. The range of g(x) is y ≥ -4 because the minimum value of the square root function is -4.

  4. f(x) has a maximum at (-4, 3) as indicated by the graph.

  5. The x-intercept of g(x) is x = 9 because when g(x) = 0, solving √(x - 5) - 4 = 0 gives x = 9.

  6. The y-intercept of f(x) is y = 3 because when x = 0, f(x) = -2√(0 + 4) + 3 = 3.

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