Name
Math 154 Practice Exam 2 Please work out each of the given
problems. Credit will be based on
the steps that you show towards the final answer.
Show your work. Problem 1 Write as an exponential function log7 x = y
log9 27
Problem 3 Find the domain of x2 - 5x - 1 x3 - 3x2 + 2x
Problem
4 A. The exponential function y = bx has y-intercept 1 and the logarithmic function y = logbx has x-intercept 1 for any b >0 with b not equal to 1. B. If a graph of a function has two x-intercepts then the function is not 1-1. Problem 5 Let f(x) = 3x + 2, g(x) = x + 3, and c(x) = -1. Find A) f ° g (x)
B) f(x + h) - f(x) C) g(f(1))
D) c ° f (2)
E)
c(x)g(x)
Problem 6 The
graphs of y = f(x) and y =
g(x) are given below. Find A. f(0) B. g(-1) C. g ° f (1) D.
f(1)
Problem 7 Find the domain and range of the following functions A. f(x) = 2x-1 + 3 B. f(x) = log8(x+2) - 4
Problem 8 Sketch the graph of y = 5x .
Problem 9 Solve for w in 22w = 1/256
Problem 10 When a certain radioactive element decays, the amount to the element A at any time t is given by A = 25 (2t/1500) How much of the element will be left after 3000 years?
Problem 11 If f (x) = log3(2x - 1) find f -1(x) Problem 12 The graph if the function y = f (x) is shown below. Determine if this function is 1-1.
|