Question

would you please give the graphical representation of the region bounded by the line y=x and the parabola y=x^2-6x-10?

Answer 1

h t t p : / / w w w . w o l f r a m a l p h a . c o m / i n p u t / ? i = y % 3 D x + a n d + y % 3 D x ^ 2 - 6 x - 1 0

..without the spaces~ :)

Answer 2

In google type:

functions graphs online

When you see list of results click on:

rechneronline.de/function-graphs/

In blue rectangle type: x^2-6x-10

In gray rectangle type: x

In Range x-axis from type -7 to 13

In Range y-axis from type -25 to 25

then click option Draw

Answer 3

Note that the two curves intersect at x = 2 and x = 5. You only need to evaluate the area intercepted between those points. It is the area between an inverted parabola and a 45 degree sloped straight line.

The area is easily calculated with calculus or numerical integration. The methods described by the previous two answers should get you the graph you want.