The functions f(x) = x2 – 1 and g(x) = –x2 + 4 are shown on the graph. Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified? y > x2 – 1 y ≤ –x2 + 4

The functions f(x) = x2 – 1 and g(x) = –x2 + 4 are shown on the graph. Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified? y > x2 – 1 y ≤ –x2 + 4

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter0: Are You Ready For This Course?

Section0.B: Diagnostic Test: Algebraic Expressions

Problem 1DT

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Question

The functions f(x) = x² – 1 and g(x) = –x² + 4 are shown on the graph.

Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?

y > x² – 1
y ≤ –x² + 4