My home’s appraisal value keeps going up. Won’t that negate the tax savings?
No. Your appraisal value was going up regardless of whether a tax-rate cut passed. Appraisals go up because property values up. The appraisal districts are charged with valuing property fairly and accurately. If the tax rate had not been cut, you would have paid tax at the higher tax rate on the same appraisal you received this year.