Answer:
(-∞,∞)
Step-by-step explanation:
This would form a roughly parabolic shape that extends infinitely along the x-axis. It would reach a height of ³√2 on the y-axis. Because it extends infinitely left and right, it would have an infinite domain. In interval notation, this would be (-∞,∞)
1. 900 gallons will be burned in 3 hours.
2. 50 gallons of gasoline weighs 300 pounds.
3. 2,124 = 59 yards
4. The person weighs 48 pounds
5. 12 people = 6 tablespoons
Answer:
See below
Step-by-step explanation:
- Find a point on the line where it touches a gridpoint and start from there. Slope is defined as rise/run, so from that point you either go up or down for rise, and left or right for run to find another point closest where the line touches a gridpoint.
- A graph with a slope that looks like \ will be negative and a slope that looks like / will be positive
5. 3/2
6. Undefined
7. 7/2
8. 3/6 simplifes to 1/2
9. -1/3
10. -2/3
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The average rate of change over some interval [a, b] is equal to the slope of the secant line from (a, h(a)) to (b, h(b)).
h(t) is a quadratic function, so its graph is a parabola, and in particular it's one that has a minimum of -4 when t = 2.
The secant line over an interval [a, b] will have a negative slope if the distance from a to 2 is larger than the distance from b to 2.
(A) If a = 4 and b = 5, then |a - 2| = 2 and |b - 2| = 3, so the slope and hence average rate of change is positive.
(B) If a = -1 and b = 5, then |a - 2| = 3 and |b - 2| = 3, so this ARoC is zero.
(C) If a = 0 and b = 4, then |a - 2| = 2 and |b - 2| = 2, so this ARoC is also zero.
(D) If a = -1 and b = 4, then |a - 2| = 3 and |b - 2| = 2, so this ARoC is negative.
