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Lesson 1: Key Features of Functions — Practice Questions

  1. 1. What is the x-coordinate of the vertex of the quadratic function $f(x) = 2x^2 + 8x + 1$?

  2. 2. Which type of function is characterized by having a constant, non-zero rate of change over its entire domain?

    • A. Quadratic
    • B. Linear
    • C. Absolute Value
    • D. All of the above
  3. 3. The vertex of the function $f(x) = |x + 7| + 1$ is at the point $(h, k)$. What is the value of $h$? ___

  4. 4. The population of a town grew from 7,000 people in 1990 to 16,600 in 2002. What was the town's average rate of growth in people per year? ___

  5. 5. Corey used 16 gallons of gasoline on a 512-mile trip and 13 gallons on a 429-mile trip. On which trip did he get better fuel economy (miles per gallon)?

    • A. The 512-mile trip
    • B. The 429-mile trip
    • C. The fuel economy was the same for both trips
    • D. Cannot be determined
  6. 6. A graph shows the cumulative sea level rise from melting glaciers was 0 mm in 1960 and 10 mm in 2003. What was the total change in sea level in mm from 1960 to 2003? ___

  7. 7. The population of a town grew from 7,000 people in 1990 to 16,600 in 2002. What was the town's average rate of growth in people per year? The average rate of growth was ___ people per year.

  8. 8. Naismith's Rule states travel time is 1 hour per 3 miles horizontally and 1 hour per 2000 feet of ascent. One foot of ascent is equivalent in time to how many feet of horizontal travel? Round to one decimal place. ___