[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-267096-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-267096-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","functions-sat-math-practice-domain-and-range","Functions - SAT Math Practice - Domain and Range","","SAT Math practice focusing on functions, including evaluating function values, determining domain and range, and solving for inputs that satisfy given function equations. Problems cover linear and polynomial functions, including quadratic and cubic forms, as well as square-root functions where restrictions apply. Practice includes multiple-choice items and grid-in questions requiring numeric answers. Clear working is required, and an answer key is provided for checking results.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/functions-sat-math-practice-domain-and-range/267096/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/functions-sat-math-practice-domain-and-range/267096.png","ImageObject",300,407,{"name":42,"@type":43},"Terk","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-19","2026-09-14",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",11,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you evaluate a function value like f(3)?","Question",{"text":63,"@type":64},"Substitute the given x-value into the function expression. Simplify to get the resulting y-value.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What determines the domain and range for functions like h(x)=x^2 or f(x)=√x+3?",{"text":68,"@type":64},"The domain depends on what x-values make the expression valid (e.g., square roots require nonnegative inputs). The range follows from the resulting output values after considering the function’s form and restrictions.",{"name":70,"@type":61,"acceptedAnswer":71},"What are grid-in questions and how should answers be provided?",{"text":72,"@type":64},"Grid-in questions require filling in the answer grid with a numeric result rather than selecting from multiple choices. 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Show all work clearly. For multiple-choice questions, circle the correct answer. For grid-in questions, fill in the grid with your answer.  \nPractice Problems  \n1. Given the function f (x) = 2x + 5, evaluate f(3) .  \n(a) 11 (b) 6 (c) 7 (d) 9  \n2. Given the function g(x) = x2 − 4x, find g(2) .(a) 4  \n(b) 0  \n(c) −4  \n(d) 8  \n3. Given the function f (x) = 3x − 2, find f (−1) .  \n(a) −5 (b) 5 (c) 1 (d) 0  \n4. For the function h (x) = x2 , determine the domain of h(x) .  \n(a) All real numbers except x = 2  \n(b) All real numbers  \n(c) x > 2  \n(d) x ≤ 2  \n5. Given the function f(x) = √x + 3, find the domain of f(x) .  \n(a) x ≥ −3  \n(b) x > −3  \n(c) x ≥ 0  \n(d) x > 0  \n6. Given the function g(x) = x3 − x, evaluate g(1) .(a) 0  \n(b) 1  \n(c) −1 (d) 2  \n7. For the function f(x) = x2 − 4, find the range of f(x) .  \n(a) All real numbers greater than or equal to −4  \n(b) All real numbers greater than 4  \n(c) All real numbers less than or equal to −4  \n(d) All real numbers  \n8. Given the function f (x) = x2 + 2x + 1, evaluate f (−3) .(a) 7  \n(b) 9  \n(c) 16  \n(d) 0  \n9. Given the function f (x) = x~~2~~21 , find the domain of f(x) .  \n(a) x  1 and x  −1  \n(b) All real numbers except x = 1  \n(c) x ≥ 1  \n(d) x > 1  \n10. Solve for x in the equation f (x) = 4x + 3 = 19 .  \n(a) x = 4  \n(b) x = 3  \n(c) x = 5  \n(d) x = 2  \n11. If f(x) = 3x2 + 2, find the range of f(x) .  \n(a) y ≥ 2  \n(b) y > 2  \n(c) All real numbers  \n(d) y ≤ 2  \n12. Given the function h (x) = x1 , find the range of h(x) .  \n(a) All real numbers except 0  \n(b) All real numbers  \n(c) x  −1  \n(d) x > 0  \n13. Solve for y: y = 2x + 5, if x = 3 .  \n(a) 11  \n(b) 12  \n(c) 13  \n(d) 14  \n14. Find the domain of f(x) = x4 .  \n(a) x  −4  \n(b) x ≥ 0  \n(c) All real numbers except 0  \n(d) All real numbers  \n15. Solve for x in f(x) = x2 − 2x + 5, if f(x) = 10 .(Grid-in Question: Answer in the grid as a number.)  \n16. Find the range of f(x) = x2 − 1 given x ≥ 0.(Grid-in Question: Answer in the grid as a number.)  \nAnswer Key  \n1. (a) 11  \n2. (b) 0  \n3. (a) -5  \n4. (a) All real numbers except x = 2  \n5. (a) x ≥ −3  \n6. (b) 3  \n7. (a) All real numbers greater than or equal to −4  \n8. (b) 9  \n9. (a) x  1 and x  −1  \n10. (a) x = 4  \n11. (a) y ≥ 2  \n12. (b) All real numbers except 0  \n13. (a) 11  \n14. (a) x  −4  \n15. (7) x = 2 (Grid-in answer)  \n16. (4) y = 5 (Grid-in answer)  \nVisit [our website:](our website: Mathaversity.com)[ Mathaversity.com](our website: Mathaversity.com)","cbCaigssekPwXRYo","https://ap.wps.com/l/cbCaigssekPwXRYo","pdf",239608,"English","# Practice Problems\n## Evaluating functions\n## Domain and range\n## Grid-in questions","[{\"question\":\"How do you evaluate a function value like f(3)?\",\"answer\":\"Substitute the given x-value into the function expression. Simplify to get the resulting y-value.\"},{\"question\":\"What determines the domain and range for functions like h(x)=x^2 or f(x)=√x+3?\",\"answer\":\"The domain depends on what x-values make the expression valid (e.g., square roots require nonnegative inputs). The range follows from the resulting output values after considering the function’s form and restrictions.\"},{\"question\":\"What are grid-in questions and how should answers be provided?\",\"answer\":\"Grid-in questions require filling in the answer grid with a numeric result rather than selecting from multiple choices. Enter the final value in the grid as instructed.\"}]","Functions - SAT Math Practice - Domain and Range | PDF"]