1) The Domain is defined as the set of x-values that can be plugged into a function. In the above example, we can only plug in x-values greater or equal to 3 into the square root function avoiding the content of a square root to be negative.
Thus, domain is \( x>=3 \) .
Using Interval Notation we write: \( [3,\infty ) \)
2) The Range of a function is defined as the set of all resulting y values. In the above example, the lowest y coordinate is y=0 achieved when x=3 is plugged in. The larger the x value plugged in the larger the y coordinate we obtain.
Thus, the range is \( y>=0 \).
Using Interval Notation we write: \( [0,\infty ) \)
Just enter your Function and press the “Calculate Domain and Range” button. The Domain and Range will be displayed in a new window.
1) The Domain are the x-values going left (from the smallest x-value) to right (to the largest x-value).
2) The Range are the y-values going from lowest (from the smallest y-value) to highest (to the largest y-value).
TiNspire CX Owners: How to Find Domain and Range using the TI-Nspire Calculator
1) The Domain is all real numbers. Any number can be plugged into y=6.
2) The Range is just y=6. The lowest and highest y are both 6.