1. A neat clear work would be highly appreciated! A neat clear work would be highly appreciated!
II. Find the horizontal asymptote for the exponential functions, and the vertical asymptote for the
log functions. Find the x and the y-intercepts in all cases, if any. IV. Stars are classified into
categories of brightness called magnitudes. The faintest stars (with light flux L0) are assigned a
magnitude or 6. Brighter stars are assigned magnitude according to M=6-(2.5)log(L/L0) for the
light flux L from the star. a.Find m if L=10^0.4L0. b. Solve the formula for L in terms of m and
L0. V. Using the Richter scale , the magnitude R of an earthquake of intensity I is given by
R=log(I/I0) For a certain minimum intensity I0. a.Find R, assuming the intensity of an
earthquake is 1000I0 b.Express I in terms of R and I0.
Solution
II.a) f(x) = 3ex - 5
horizontal asymptote is y= -5 and y-intercept is (0,-2)
b) g(x) = ln(x+2) - 5
vertical asymptote is x= -2 and x-intercept is (e5-2,0)
c) h(x) = 2-x +8
horizontal asymptote is y=8 and y-intercept is (0,8)
d) k(x) = log3 (x-5) -3
vertical asymptote is x = 5 and x-intercept is (32,0)