Question

1) Sketch the graph of each of the following exponential functions. Make sure you label at least three points on the graph or include a t-chart with the coordinates. a. S(x)=3 b. y=213 c. g(x)= (3) 3 d. y e. f(x) = "+1

Answer 1

Solution: (a) f(n)=3x. a set Taking dath. 아 2 xxfa) - - fon) o for) // 3 g x intercept & Not y intercept = (0,1) from the above dafe points, plotting the graph. o -2 1 (2,9) 9 3 7 с f(a) = 3² -3-2012 (6) y = 24 +3 Tacing set of datę 3 5 5 y 25/8 (13/4/7/24 7. 11 from the above dase point plotting the graphe Ray=0 2 3 -1 -2 0 x 19 x-00 y 3 Yinterupt = 3.5 1 9 y= 2*1 + 3 7 3,7) (07/2) $ 6 B (2,5) 042 G=3 2 -Y -3 -2 -1 2 3 4 5

(C) g(x) = (6) Taking set of data - O 1 2 x-2 gony 19/1/ and Plotting the graph fm & fo) o x intercept Y intereypt = (0,1) 1 3 9 --- gon) Not 9 (2,9) 8 7 6 301) = ) 5 we observe that the graph of 4 gens-() is 3 (13) 2 + same as fm)=3" becare +7 2 3 4 3x (d) y - ()-1 Taling the set of data and plotting the graph 0 2 3 -3 xx, y-1 y 7/9 1½ K - -1/4|-7/16 -37/64 37/27 44 y & intercept Coa) 3 0,0) (-4)

(e) for ex+1 e-2.7/8 Taking set of data and then plotting the greph - +1 fo 049 350 -41-5 3.718 18.38 /21.08/55.58 1484 2 when a , fon) 1 f(n) Y interest (0, 2) fon 22 (-3,91-08) 20 IS 17 16 fon) = ex+1 IS 4 12 11 -10 S (2,8-38) (1348) (6,2) -5-Y -3 -2 - 0