Relating Domain of a Function to its Graph HSF.IF.B.5 Grade Practice Test Questions TOC | Lumos Learning

Relating Domain of a Function to its Graph HSF.IF.B.5 Question & Answer Key Resources SBAC Grade 11 Mathematics  Master Course 

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The function \(f(x)= -\frac{1}{20}(x-5)^3+\frac{1}{20}(x^2+4)\) is the formula for the height and slope of a training ski slope for small children. Its graph is shown below. The ski slope begins with a height of meters and has a length of more than decameters. The parents of the children stated that the slope is too steep at the bottom end and want the slope to stop at a height of 5 meters to be safer. What is the domain of the function to ensure the safety the parents want?

  1. [0, 10]
  2. [-1, 11]
  3. (-∞, ∞)
  4. [0, 9]

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Question Type: Hot Text

Standard(s):HSF.IF.B.5

Standard Description: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function

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