Domain and Range Name ANSWERS (Graphing Calculator)

Domain and Range

Name_____ANSWERS______________

(Graphing Calculator)

Graph each of the following equations using a graphing calculator. Carefully sketch the

graph on the grid provided. State the domain and range of each relation. Determine if the relation is

a function, and whether its inverse is also a function. If the inverse is not a function, restrict the

domain to ensure the inverse will be function. There will be multiple possible answers for

1. y = 4 ? x 2

Domain: All Reals; (,) ______

the restricted domains. Only one, or two, options will be shown on this answer key.

Range: y < 4; (, 4] ___________

Is this a function?_____Yes _______

Is its inverse a function?___No ____ If "no", restrict the domain: _x > 0 or x < 0________________

2. y = x 2

Domain: All Reals; (,) _______

Range: y > 0; [0,) _____________

Is this a function?_____Yes________

Is its inverse a function?____No____ If "no", restrict the domain: _x > 2 or x < 2_______________

3. y x 3

Domain: x > -3; [3,) _________

Range: All Reals; (,) ______

Is this a function?_____No_________

Is its inverse a function?___Yes_____ If "no", restrict the domain: _ does not apply_________________

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4. y = x3 3x2 6x

Domain: All Reals; (,) ______

Range: All Reals; (,) ______

Is this a function?____Yes________

Is its inverse a function?___Yes___ If "no", restrict the domain: _does not apply _____________________________

5. y = sin(x)

Domain: All Reals; (,) ___

Range: [-1, 1] ______________________Z_oom Trig

Is this a function?____Yes________

Is its inverse a function?___No____ If "no", restrict the domain: __-/2 < x < /2 or 90? < x < 270?___

6. y = x2(x 3)2

Domain: All Reals; (,) _______

Range: y > 0; [0,) _____________

Is this a function?_____Yes________

Is its inverse a function?___No_____ If "no", restrict the domain: ___(-, 0] or [0,1.5] _________

Zoom Standard

7. y 25 x2

Domain: [-5, 5] ______________________

Range: [-5, 5] _______________________

Zoom Square

Is this a function?_____No_________

Is its inverse a function?____No____ If "no", restrict the domain: [0,5] or [-5,0] ______________

Zoom Standard

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