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Lesson 5: Intervals of Increase and Decrease — Practice Questions

  1. 1. On a graph of a function, what does a perfectly horizontal line segment indicate?

    • A. The function is increasing.
    • B. The function is decreasing.
    • C. The function is constant.
    • D. The function is undefined.
  2. 2. The speed of a train is monitored. It travels at a steady 65 mph from hour 2 to hour 4 of its journey. The speed function is constant on the interval $2 \leq x \leq$ ___.

  3. 3. A patient's temperature was stable at $99.5^\circ F$ from 8 AM to 11 AM. If $x$ represents the hours after midnight, on which interval was the temperature function constant?

    • A. $x > 11$
    • B. $8 < x < 11$
    • C. $8 \leq x \leq 11$
    • D. $x = 8$
  4. 4. A graph shows the value of a collectible toy over several years. The value was constant at 75 dollars from year 4 to year 9. For any year $x$ in the interval $4 \leq x \leq 9$, the value was ___ dollars.

  5. 5. True or False: If a function is constant on an interval, its graph over that interval is a straight line that is not horizontal.

    • A. True
    • B. False
  6. 6. On what interval is the function $f(x) = (x - 3)^2$ increasing? Use interval notation. The answer is ___.

  7. 7. A function is described as increasing on an interval. What does this mean about its graph on that interval?

    • A. The graph is rising from left to right.
    • B. The graph is falling from left to right.
    • C. The graph is a horizontal line.
    • D. The graph has a minimum point in that interval.
  8. 8. On what interval is the function $g(x) = |x + 5|$ decreasing? Use interval notation. The answer is ___.

  9. 9. On which interval is the function $h(x) = 4x - 7$ increasing?

    • A. $(-\infty, 4)$
    • B. $(4, \infty)$
    • C. $(-\infty, \infty)$
    • D. The function is never increasing.
  10. 10. Determine the interval on which the function $f(x) = -x^2 + 1$ is increasing. Use interval notation. The answer is ___.