Understanding the Relationship between Functions and Graphs

[sdoman]

Homework Statement

Problem: Find the area of the region that is bounded by the graphs of f(x) = 2x+1, and g(x) = x^2 +1

I have calculated the points of intersection, but am having trouble figuring out which is the upper graph over this interval:

x=0 & x=2

Are there any resources you can point me to so as I can learn to distinguish?

Many thanks in advance.

 

[Mark44]

Homework Statement

Problem: Find the area of the region that is bounded by the graphs of f(x) = 2x+1, and g(x) = x^2 +1

I have calculated the points of intersection, but am having trouble figuring out which is the upper graph over this interval:

x=0 & x=2

Are there any resources you can point me to so as I can learn to distinguish?

• Brain
• Hand
• Paper
• Pencil

Sketch a graph of the two functions. One graph is a straight line; the other is a parabola.

Many thanks in advance.

 

[sdoman]

Ha sounds good man.

Another question:

I have the anti derivative from 0 to 2 (2x-x^2) dx

and then the example states we get (x^2 - (x^3)/3) over the same interval.

My question is about the 2x after we integrate it we get x^2.

So if we have 4x would it be x^2 or x^4?

Thanks

 

[Mark44]

Do you know any rules for antiderivatives? Do you know how derivatives and antiderivatives are related?

 

[sdoman]

I am having trouble with them.

 

[sdoman]

I do know the basics in how they are related I guess you could say

 

[Mark44]

What rules do you know?

I do know the basics in how they are related I guess you could say

OK, how are they related?