SolutionsTest 2 Blue

# SolutionsTest 2 Blue - COURSE MATH 150 NAME SQ/W SEC...

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Unformatted text preview: COURSE MATH 150 - NAME: SQ/W SEC: February 29, Zilllg NO CALCULATORS ALLOWED. SHOW COMPLETE WORK TO GET CREDIT. Test 1 1. Find the solution interval for the following inequalities: (16PTS.) a) [1—2xi—SS6 b) 2 0 E lbw! 5—H , XﬂLﬂb Ywi-{Vm O [*lx 5-— V‘; “(Q :1 «ﬁx i H) ’5') (T 6 >( ‘K >/ M5\. ‘Xaj-G, 2C3 CY: 55* i I i l/ 33;: {:5} V/ X S“: ~53?§) Ul‘é‘ﬂaj 2. Find the domain and range of the following functions: (10 PTS.) a) f(x) = 7—2;“— h) f(x) = — x/Zx — 5 I » x + x — 56 {in - «:3 7) ” 6 983 D: Cw,-8)u(~8ﬁ}”(‘72 ) r» A a; v- i??? V 21) Find the inverse of the function f (x) = [1 b , 36—2 “60" 3 t5} :2: x <2 :L 9: 2: 792“ yr?“ (1'3 E), 2“ * ~ ,2,»- C; ,an: Ck‘iﬁrlﬁ a?) xx ‘ k x; . W CM 3 l) 2% m v { w! “ ' “ 2.5.x,» b) Find f(f“(1)). ‘ X4 “ (4pm.) Given f(x)=x2 ~3x—7,g(x)=x/x—3 . Find (16PTS.) a) (f+ g)(4) b) (ngl) .. . . r < +5 L if) (43> + I ’ ‘ “1‘ C) '(gofX-l) d) (ngX7), :0) I 7QMK7> > L. (7;, _§.,_-7Z my ' Graph: f(x)=x2 +2x—15 (12 PTS.) x-intercept(s):‘C—:, ;O > _ - y—intercept: (a 945“) ‘ VerteX' -i) wig) I a: Axis: ,5 C x t Maximum or inimu "f-vx)‘ ‘ ee/ 6 W a a; A rancher with 600 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (8 PTS.) 9,: 2L +§""W:..é@<3' S 7. Given f(x) = X2. Write the transformed function with the following transformations: Reﬂection over the X-axis, reﬂection over the y-aXis, vertical stretch of 2 units, vertical shift of 3 units up, and a horizontal shift of 4 to the left. (5 Pts.) k ( may mi) 8. Graph: f(x)= 2x3+x2—x 7" [2?“ D (Kw) (8Pts.) , “M Dém L. 0—, End Behaviour: bf) m/ j? , air; r‘ \$ x—intercepts: r53 raj a) ( If 0,) i y-intercept: d) 7 O 3 Additional Porﬁts: (atleast 3) E ,i”’~‘tl X ,5: (fl 3 will 9. i Given f(x) = x5 + 3x4 — 4x2 + 5x — 7 , ﬁnd f(-1) and f(2) using the synthetic division and the remainder theorem (12pm) 10. Use long division to divide (x4 + 2x2 — 4x — 5) + (X + 2) 7 y 4x oi T “2% ...
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