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- Sketch the graph of the reciprocal function from exact points on graph paper.
- Find the range of the reciprocal function for each limited set of inputs.1 \le x \le 4-5 \le x \le -2x > 80 < x < 0.2-1 \le x \le 2, x \ne 0
- Use the two symmetries of the reciprocal graph to name three more points.
- Find where a line meets the reciprocal graph, and explain why another line never does.
- Compare the square root with a line: which is higher, and where do they meet?
- Find what stays the same about a rectangle drawn from a point on the reciprocal graph.
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The square root and reciprocal functions: the lesson ›More Chapter 1 worksheets: Parent functions and transformations
- 1.1The squaring and cubing functions
- 1.2The square root and reciprocal functions
- 1.3Shifting a graph up, down, left and right
- 1.4Reflecting a graph across the axes
- 1.5Stretches and compressions
- 1.6Combining transformations and the general form
- 1.7Graphing by transforming a parent graph
- 1.8Finding the rule of a transformed graph or table
- 1.9Transforming the absolute value graph
- 1.10Symmetry about the vertical axis and the origin
- 1.11Even and odd functions
- 1.12Linear functions in context
- 1.13Domain and range from a graph