Calculus

[algray09]

The homework question is: graph the average rates of change for h(t) and describe its shape?

my thoughts: I know the question is talking about the 2nd table avg values but I’m having trouble graphing it because there are more values of h(t) in the 1st table than the 2nd table. Do I put the avg values on the y axis or x axis?
The column on the right of the second table has two numbers but when I graph it on Desmos it doesn’t really work.

basically I’m confused how to graph this because I know one set of numbers to use but don’t know what others to use?

 

[blamocur]

View attachment 34044
The homework question is: graph the average rates of change for h(t) and describe its shape?

my thoughts: I know the question is talking about the 2nd table avg values but I’m having trouble graphing it because there are more values of h(t) in the 1st table than the 2nd table. Do I put the avg values on the y axis or x axis?
The column on the right of the second table has two numbers but when I graph it on Desmos it doesn’t really work.

basically I’m confused how to graph this because I know one set of numbers to use but don’t know what others to use?

Can you post the exact problem statement ?

 

[Otis]

Hi algray. I note that your image cuts off parts of what you've written for (b).

[imath]\;[/imath]

 

[algray09]

Can you post the exact problem statement ?

Here is the exact problem and what I have done so far. I’m working on part f.

 

[Dr.Peterson]

View attachment 34044
The homework question is: graph the average rates of change for h(t) and describe its shape?

my thoughts: I know the question is talking about the 2nd table avg values but I’m having trouble graphing it because there are more values of h(t) in the 1st table than the 2nd table. Do I put the avg values on the y axis or x axis?
The column on the right of the second table has two numbers but when I graph it on Desmos it doesn’t really work.

basically I’m confused how to graph this because I know one set of numbers to use but don’t know what others to use?

Does your first question mean you are trying to graph both tables on the same axes? I don't think that's needed.

To graph the second table, you have to be a little creative, since as you point out, the first column is not numbers but intervals between two numbers. You might use either the start of the interval, or the middle of the interval, as the x-coordinate, and the average over that interval would be the y.

 

[lookagain]

algray09, the statement you made in your handwriting that "It's a parabola because it has a vertex" is not necessarily true. For instance,
an absolute value function has a graph with a vertex. It depends on what context you are in.

 

[Deleted member 4993]

And hyperbola as a vertex .......