Question

How do you visualize two graphs?

Answer 1

For example I have to subtract the function with the greater area from the one with the lesser area using integration techniques, but how do I know which is larger?

Answer 2

`how do I know which is larger?`
plug in x values that belong in the interval

For example, if you had an interval from x = 0 to x = 10 and you wanted to see which is larger, then you'd plug in x = 2 into each function and compare.

a graph is a visual way to see which is larger. If you cannot graph, then the next best thing is to use algebra to figure out where the functions cross to determine the boundaries

Answer 3

I set the equations equal to determine the boundaries

Answer 4

btw when they ask for area between the curves, you can subtract the functions in any order as long as you use absolute value

this is because

|x-y| = |y-x|

for any real numbers x and y

The area between the curves f and g will always be some positive number

Answer 5

oh, nice I like that, thanks

Answer 6

btw this is what the region looks like

Answer 7

so here I would do the area of the parabola minus the area of the radical function on the bounds of 0 to 9 right?

Answer 8

yes that's correct