www.iTutoring.com -­‐ NOTES Graphing Radical/Square Root Inequalities Name _________________________________ Date ___________________ Period _______ Radical/Square Root Function
y=a
1
(x – h) + k
b
y>a
1
(x – h) + k
b
y<a
1
(x – h) + k
b
y≥a
1
(x – h) + k
b
y≤a
1
(x – h) + k
b
Radical/Square Root Inequality
Rules for graphing radical/square root inequalities...
Graph the boundary function y = a
Solid line or dotted line
y < or y > ! dotted line
y ≤ or y ≥ ! solid line
1
(x – h) + k
b
Shade above or below boundary
y > or y ≥ ! shade above boundary
y < or y ≤ ! shade below boundary
The shaded region represents all (x,y) coordinates
that will make the inequality a true statement.
Graph the following radical inequalities
Solid or Dotted
Above or Below
y< x+3–1
Graph the following radical inequalities
Solid or Dotted
Above or Below
y ≥ -2 x – 1 + 5
© iTutoring.com
Graphing Radical/Square Root Inequalities Pg. 2 Graph the following radical inequalities
Solid or Dotted
Above or Below
y > -(x – 4) – 5
Graph the following radical inequalities
Solid or Dotted
Above or Below
y ≤ -3 x + 7 + 5
© iTutoring.com
Graphing Radical/Square Root Inequalities Pg. 3 Rules for graphing radical/square root inequalities...
Graph the boundary function y = a
Solid line or dotted line
y < or y > ! dotted line
y ≤ or y ≥ ! solid line
1
(x – h) + k
b
Shade above or below boundary
y > or y ≥ ! shade above boundary
y < or y ≤ ! shade below boundary
The shaded region represents all (x,y) coordinates
that will make the inequality a true statement.
© iTutoring.com
Graphing Radical/Square Root Inequalities Pg. 4