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From 1958 to 2018, the number of students S (in thousands) enrolled in United States public schools can be modeled by the function below where x is the number of years since 1958. \large S\left(x\right)=1.84x^3-201x^2+1910x+69,800 1. Graph the function. Label axes and provide a title. 2. Identify any turning points on the domain 0 < x < 60. What real-life meaning do these points have? 3. What is the range of the function for the domain 0 < x < 60? What real-life meaning do these points have?

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MrRoyal

Functions can be used to model real-life situations.

  • The graph has no turning point.
  • The range of the graph is: [tex]\mathbf{[0, \infty)}[/tex]

The function is given as:

[tex]\mathbf{\large S\left(x\right)=1.84x^3-201x^2+1910x+69,800 }[/tex]

(a) The graph of S(x)

See attachment

(b) The turning points

The turning point is the point where the graph changes from increasing to decreasing, and vice versa.

From the attached graph, we can see that the graph has no turning point.

(c) The range

The range is the possible y-values of the graph.

For 0 < x < 60, the y values starts from 0, and it increases upward.

This means that the range of the graph is: [tex]\mathbf{[0, \infty)}[/tex]

The range means that, a very large number of students enrol in the United States public school since 1958

Read more about graphs at:

https://brainly.com/question/16821641

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