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Symmetrical Graph Sketching: No Forbidden Regions

Follow these steps to complete the sketch of a graph with restricted regions that doesn't cut the x-axis. Learn how to identify key points like local minimum and horizontal asymptotes. Understanding the range of y-values allows plotting the graph accurately. This graph showcases a mathematical concept with clear examples.

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Symmetrical Graph Sketching: No Forbidden Regions

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  1. Graphs with restricted(forbidden) regions!

  2. From this information, we can complete the sketch Note that the graph is symmetrical about the y-axis, so the point (0, 9) is a local minimum point.

  3. Step 4: Complete the sketch We can also complete the part of the graph to the left of the asymptote, remembering that the graph does not cut the x-axis.

  4. Pg 8 in notes

  5. 4y2 + 12y - 7  0 Solving y >  or < -3

  6. This means that there is a restricted region as there are no y values between -3 and . This then gives us the T.P`s. • ymax = -3ymin=  • This graph crosses the horizontal asymptote

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