# How do you graph the inequality #y>=-x^2-7x+10#?

##### 1 Answer

Aug 31, 2017

Start by graphing the function:

# y=-x^2-7x+10#

The

# -x^2-7x+10 = 0 => x^2+7x-10 = 0 #

which using the quadratic equation gives :

# x= - 7/2 +- sqrt(89)/2 #

So we can can graph the quadratic as follows:

graph{y=-x^2-7x+10 [-20, 15, -20, 40]}

Then the required region is simply that outside the quadratic, as follows

graph{y>=-x^2-7x+10 [-20, 15, -20, 40]}