asymptotes of f(x)=-x^2-3x+2

{ "query": { "display": "asymptotes $$f\\left(x\\right)=-x^{2}-3x+2$$", "symbolab_question": "FUNCTION#asymptotes f(x)=-x^{2}-3x+2" }, "solution": { "level": "PERFORMED", "subject": "Functions & Graphing", "topic": "Functions", "subTopic": "asymptotes", "default": "\\mathrm{None}", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Asymptotes of $$-x^{2}-3x+2:\\quad\\:$$None", "steps": [ { "type": "interim", "title": "Vertical asymptotes of $$-x^{2}-3x+2:{\\quad}$$None", "input": "-x^{2}-3x+2", "steps": [ { "type": "definition", "title": "Vertical asymptotes of polynomial functions", "text": "Polynomial functions of degree 2 or higher do not have an asymptote" }, { "type": "step", "result": "\\mathrm{No\\:vertical\\:asymptotes}" } ], "meta": { "solvingClass": "Function Asymptotes", "interimType": "Vertical Asymptotes Top 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xyoU2cWyPLDgE1QLLHeauuc3PHQdChPJ2JhfqHT+ZU0OM+9IkDmC/hwmX5Axiwqw5dZGXQVnG5jqOI0PeFDB4kzOUIHn56yUDRTSbOUzxuM3tAnnDCEKukEyUMk6ZX9mqmx++TM2roekZcffIReII4nluqKtHuSyxfCg0+6i8xstDsIjaxJ4DvjTb2fbKjbvtlQ==" } }, { "type": "interim", "title": "Horizontal Asymptotes of $$-x^{2}-3x+2:{\\quad}$$None", "input": "-x^{2}-3x+2", "steps": [ { "type": "definition", "title": "Horizontal asymptotes of polynomial functions", "text": "Polynomial functions of degree 1 or higher do not have an horizontal asymptote" }, { "type": "step", "result": "\\mathrm{No\\:horizontal\\:asymptote}" } ], "meta": { "interimType": "Horizontal Asymptotes Top 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xyoU2cWyPLDgE1QLLHeauuc3PHQdChPJ2JhfqHT+ZU0OMW0QiF7WQsnIxF55f0PihoqucDZjuR2GVCEwjPwUTJRsnxMsp5FfItZBouKLaFA5bhPchc83Mmis5hgQbNIIr5UE2Y+jNnQ5a8yMJOol/azUHzjdqHxRRmhGMJAQVZsVMT2bKWogrIYxJj+7FaWuT3A==" } }, { "type": "interim", "title": "Slant Asymptotes of $$-x^{2}-3x+2:{\\quad}$$None", "input": "-x^{2}-3x+2", "steps": [ { "type": "step", "primary": "Polynomial functions of degree other than 1 have no slant asymptote." }, { "type": "step", "result": "\\mathrm{No\\:slant\\:asymptote}" } ], "meta": { "interimType": "Slant Asymptotes Top 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xyoU2cWyPLDgE1QLLHeauuc3PHQdChPJ2JhfqHT+ZU0OMLXiD7VTAsp80tg/tmv96KDoDRQQmxjxS7Q6jIaURPB4MQXJsSG9iC7sOWkG2LdReRFizZ4CZqR2CKJOqOWo3bBIMCpHwEIZL68gHejtJIjlAolTAbfknC246lANZ2irp" } }, { "type": "step", "result": "\\mathrm{None}" } ], "meta": { "solvingClass": "Function Asymptotes" } }, "plot_output": { "meta": { "plotInfo": { "variable": "x", "plotRequest": "-x^{2}-3x+2" }, "showViewLarger": true } }, "meta": { "showVerify": true } }