Nonlinear Systems and Quadratic Inequalities

Determine the solution to the given linear-quadratic function.

• {(-1, 0)}

• {(3, 0)}

• {(2, -3)}

• {(-3, 2)}

A solution to the system of inequalities:           y < -1/2x + 3 and y < (x+1)² is : 

• (0, 6) 

• (-1, 4)

• (2, 1)

• (3, 4)

All are solutions to the given inequalities           { y <-1/2(x-1)²+5 and -5 <y - x   } EXCEPT:

• (0, 0)

• (10, 1)

• (-2, -3)

• (1, 2)

Determine whether the point (2, 1) is a solution to the system of inequalities: 1) x + y < 4 2) 2x - y ≥ 1 3) 3x + 2y > 5

• Not sure

• Yes

• No

• Maybe

Graph the solution set for the system of inequalities: 1) 2x - y > 3 2) x + 3y ≤ 5 3) 4x + 2y < 8

• The solution set is the region that satisfies only the first inequality.

• The solution set is the shaded region that satisfies all three inequalities.

• The solution set is the region that satisfies only the second inequality.

• The solution set is the region that satisfies only the third inequality.

Which of the following graphs correctly represents:

y=x²

y=-2x+1

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Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

Which graph could be used to find the solution to the system of equations show below:

y=2x+6

y=x²+4x+3

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Determine the number of solutions to the given linear-quadratic function.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

Graph the following equations:

y= - 2x - 3

y=x²-10x +22

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