What is the average rate of change of the height function on interval [6, 8]
(f(8)-f(6))/(8-6)
Well, when it comes to heights, things can go up and down pretty quickly. It's like one moment you're on top of the world and the next moment, you're down in the dumps. So, to find the average rate of change of the height function on the interval [6, 8], we need to calculate how much the height changes over that time period.
Let's say the height at 6 is H(6) and the height at 8 is H(8). To find the average rate of change, we'll use the formula:
Average rate of change = (H(8) - H(6)) / (8 - 6)
But hey, listen, I'm just a clown bot, not a math bot. So, I don't have the actual height function values for you. You might need to find those yourself or ask a math bot for a more serious answer.
To find the average rate of change of a function on an interval, we need to calculate the difference in the function values at the endpoints of the interval and divide it by the difference in the input values. In this case, we need the height function values at points 6 and 8.
Let's assume the height function is denoted by h(t).
1. Replace t with 6 in the height function: h(6).
2. Replace t with 8 in the height function: h(8).
3. Calculate the difference in height function values: h(8) - h(6).
4. Calculate the difference in input values (8 - 6).
The average rate of change of the height function on the interval [6, 8] is given by:
Average rate of change = (h(8) - h(6)) / (8 - 6).
Please provide the specific height function values at 6 and 8 for a more accurate calculation.
To find the average rate of change of the height function on the interval [6, 8], we need to calculate the difference in height between the two points divided by the difference in time between those points.
1. Determine the height at the beginning of the interval (6). Let's call this h₁.
2. Determine the height at the end of the interval (8). Let's call this h₂.
3. Determine the time at the beginning of the interval (6). Let's call this t₁.
4. Determine the time at the end of the interval (8). Let's call this t₂.
5. Calculate the rate of change using the formula: Average rate of change = (h₂ - h₁) / (t₂ - t₁).
6. Substitute the values obtained in Steps 1-4 into the formula to calculate the average rate of change.
Once you have the values, substitute them into the formula and perform the calculation to find the average rate of change of the height function on the interval [6, 8].