What-is-range-of-function-f-x-x-1-x-2-x-3-x-4-1-where-x-1-1- Tinku Tara June 3, 2023 Relation and Functions 0 Comments FacebookTweetPin Question Number 136270 by EDWIN88 last updated on 20/Mar/21 Whatisrangeoffunctionf(x)=(x+1)(x+2)(x+3)(x+4)+1wherex∈[−1,1] Answered by mr W last updated on 20/Mar/21 f(x)=(x2+5x+4)(x2+5x+6)+1f(x)=(x2+5x+4)(x2+5x+4+2)+1f(x)=(x2+5x+4)2+2(x2+5x+4)+1f(x)=(x2+5x+5)2f(x)=[(x+52)2−54]2⩾0(x+52)2−54=0x=−5+52≈−3.618,−5−52≈−1.382i.e.in(−∞,−3.618]f(x)isdecreasingin[−1.382,+∞)f(x)isincreasing⇒in[−1,1]:min.f(x)=f(−1)=1max.f(x)=f(1)=2×3×4×5+1=121i.e.rangeoff(x)in[−1,1]is[1,121]. Commented by mr W last updated on 20/Mar/21 Commented by EDWIN88 last updated on 20/Mar/21 great.. Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Question-136267Next Next post: If-the-length-of-a-rope-that-is-attatched-to-a-wall-with-the-period-of-2s-is-doubled-what-is-the-new-period- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.