y=|x-3| +2

Ask yourself, "What values of x would be allowed in this formula?" Keep in mind that you are NEVER allowed to divide by ZERO, and if you have a square root or fourth root or something like that, then whatever is INSIDE the square root symbol MUST be GREATER THAN OR EQUAL TO ZERO! Those are the MAIN two restrictions you have to consider. Since there are NO denominators, and NO radicals, there are NO RESTRICTIONS, so ALL VALUES OF X are allowed. This means that Domain is ALL REAL VALUES OF X.

To find the range is a bit harder. Do you realize that an absolute value graph is a V shaped graph, and this one opens UPWARD? If so, then remember that RANGE means "What values of y will result if you substitute values of x into the function. In this case, it is a V shaped graph opening upward, and the SMALLEST value you could get for y would be 2. So Range is y >= 2 .