New SAT Math Workbook

The portion on the first chart is a bit larger than

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Unformatted text preview: ions 2–5, circle the letter that appears before your answer. 1. The figure below shows a portion of the graph of a certain function in the xy-plane. For the portion shown, at how many different values of x is | f(x)| at its maximum value? 3. If f(x) = 2x – 2, then which of the following is the graph of f ( )? x−2 2 (A) (B) 2. If f(x) = 2, then the line shown in the xy-plane below is the graph of (C) (D) (A) (B) (C) (D) (E) f(x + 1) f(x – 1) f(x + 2) f(x – 2) All of the above (E) www.petersons.com Additional Geometry Topics, Data Analysis, and Probability 291 4. If f(x) = (x – 1)2 + 1, what is the y-intercept of the graph of f(x+ 1) in the xy-plane? (A) –2 (B) –1 (C) 0 (D) 1 (E) 2 5. If f(y) = –(y2 + 1), then the graph shown in the xy-plane below best represents which of the following functions? (A) (B) (C) (D) (E) f(–y) f(y + 1) f(y – 1) f(y – 2) f(y2 – 2) www.petersons.com 292 Chapter 16 5. DATA ANALYSIS The new SAT includes questions involving the analysis of data displayed in graphical formats such as tables, pie graphs, line charts, bar graphs, and scatter plots. To answer a data-analysis question, you’ll need to: * Understand how the data are displayed * Know which data are relevant to the question * Know how to process the relevant data to solve the problem (answer the question correctly) A data analysis question might require a simple arithmetic calculation (addition or subtraction) and/or a simple calculation of a percent, average, fraction, or ratio. In handling SAT data analysis, be careful to read the question very carefully, so that you select the appropriate graphical data and perform the appropriate calculation — one that yields the answer to the precise question being asked. In analyzing a line chart, bar graph, or scatter plot (see the examples below), estimating number values in the display will suffice to answer the question correctly. To answer any data analysis question asking for an approximation, rounding off your calculations will suffice. Example (Table): According to the table above, of the total number of automobiles sold to U.S. and foreign institutions during the 2002–03 m...
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