Outcome 1B Review

A student walks to school each morning. Which scenario represents a positive rate of change?

• Distance from home vs. time elapsed

• Distance to school vs. time elapsed

• Number of steps remaining vs. distance walked

• Energy level vs. distance walked

In a piecewise function modeling temperature throughout the day, what is represented by the domain restrictions?

• The range of possible temperatures

• The specific time intervals

• The rate of temperature change

• The maximum temperature value

At a coffee shop, the price of bulk coffee beans changes based on quantity purchased. If you buy 1-5 pounds, it's $12/lb; 6-10 pounds, it's $10/lb; over 10 pounds, it's $8/lb. What's the domain restriction for the middle piece?

• x ≤ 5

• 6 ≤ x ≤ 10

• x > 10

• x ≥ 6

The rate of change between two points on a line can be found by:

• Multiplying the x-coordinates

• Adding the y-coordinates

• Finding the difference between both x values and both y values

• Finding finding the middle of the two points

A movie theater's attendance over time shows a negative rate of change when:

• More people enter than leave

• More people leave than enter

• Equal numbers enter and leave

• Nobody enters or leaves

If f(x) represents the number of gallons in a pool being filled, what would a rate of change of 0 indicate?

• The pool is emptying

• The pool is filling

• The water level is constant

• The pool is overflowing

In a piecewise function, if f(x) = 3x when x < 2 and f(x) = x² when x ≥ 2, what's the value of f(2)?

• 6

• 4

• 2

• 0

The average rate of change between two points represents:

• The exact slope at a point

• The secant line slope

• The maximum rate

• The minimum rate

In the context of customer count at a store, what does a rate of change of -15 customers per hour mean?

• 15 customers enter per hour

• The store gains 15 customers hourly

• The store loses 15 customers hourly

• The store is closed

If a function shows the cost of renting cars where the rate changes at 7 days, this function is:

• Linear

• Quadratic

• Piecewise

• Exponential