Honors Algebra 2B Mid-Term Review Problems Name: 1. Which of these does NOT have the same value as the others? C. 1og464 O g39 A. log28 D. 1og5125 2. Which function represents exponential growth? B. y = -2.5x13 A. y = 2.5)(1.3 y = 2.5 (1.3)x D. y = 2.5 (0.3)x Sketch each graph. Label 3 points and the asymptote. Also name the domain & range. 1V 4. g(x) = — —1 3. f (x) = log3 x domain: (0 ) 3 c.0) domain: cx) ) range: range: 1 A •••••••1 (i) 1 1 5. h(x) = — — .2' 2 domain: ••••• ( 6. g(x) = log3 (x —3) + 2 , domain: 0.) range: range: (— t A 6 2) -A 7Co/ - z) A 3 coy. • Factor Completely 7. 27x3 -64 8. 375+24y3 9. An angle drawn in standard position has a terminal side that passes through the point r 2 , — 1 \ . What is 2) the measure of the angle [37r,57r) ? 10. An angle of -585° is in standard position. What are the coordinates of the point at which the terminal side intersects the unit circle? 11. 12. What is the exact value of sec 3 Describe the translations from the parent function y = cos 0 to the new function: y = 3 cos (48 —2)+5 For problems #13-15, Graph [0,27d : 7r 13. y=-3sin 0-- +1 3 14. f (x) = tan(38) 15. f (x) = csc (20)-1 16. Evaluate 5log9 17. Use the equation of the exponential function whose graph passes through the points (2, 2) and (4, 50) to find the value of y when x = -2. 18. Use logs 2 0.4317 and log, 3 0.6846 to evaluate the value of log . 2 19. Suppose you deposit $31000 in an account paying 3.7% annual interest compounded continuously. How much do you have after 7 years, presuming no additional deposits or withdrawals. 20. Solve ln(x + 2) = 3 3 7.)( (75-40/0 p (z)x-v)(xt---1- (1, 414Z774 L : 'I 3 v; 5 , Y) a) 3 e- 7-41./v T44.) k (6 Ft: zse- LI-A-4 - (I 1-50-x 5 '71- 5 — /)( • A K' (//: / — 75/ 4_25(4-)(1-5 f/j2->e 5 /A-- 2->c A ?5,,,,x• 7L 5 (A, 2-x /4, z)c- 2 5/4-K 105 z->e" 7' 625 2-)e - 72? 2_ 5g-c, / t 7#/5,2,(/ —5/A-X 2- CZ2 '2( C IX 2-51-7-z->r Mrvx , t T4A-x rug ± c 59 t 61- 7L 1 °5 574-v0 bross4 , 4-- 5 C ,Y5 19 7L- C I - 4- 2-S Ai? i/L) 't)( x- ) '4 - I(x Gz; co -5 , ..C.PS , 7 7/ )10 o 5141 y (-7 2- Co5 4 _, (0 13 /c) ,c7 ( - 5 Vi ?-9 (6-) -2_ 41 `;--)(i3, 5--74}) 9, C' ..-- (2 Li cc A -17_ (5> ((9) -(1/Y.tc̀r :;-• fp./C1-5 —1 : c 7) >c 13. y = —3 sin — 3 --1 14. f (x) = tan (30) 15. f (x) = csc (20) —1 +1 45;
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