math 135 ch 4 exam review

Question 1

what is the x-intercept of a logarithmic function?

Answer 1

(1,0)

Question 2

where is the vertical asymptote of of a logarithmic function?

Answer 2

VA at x = 0, y-axis

Question 3

range of a log function

Answer 3

all real numbers, -inf, inf

Question 4

domain of a log function

Answer 4

(0, inf) all positive real numbers, x value affected by horizontal shifts (h)

Question 5

reflection of symmetry of a log function

Answer 5

at y=x

Question 6

solving an exponential equation

Answer 6

1. get the same base
2. solve for x using exponents
3. if cannot get the same base, put into logarithmic form (change of base form)

Question 7

any value raised to 1 =?

Answer 7

0

Question 8

Elements of exponential growth and decay formula: A=A_0e^(kt)

Answer 8

A = amount at time t
A_0 = intial amount
k = rate; k>0 growth, k<0 decay
t = amount in time

Question 9

Elements of compound interest formula:
A = P(1+r/n)nt

Answer 9

A = amount
P = principle (amount invested)
n = number of times compounded (1,4,12,365)
r = rate

Question 10

Answering logarithms in ordered pairs

Answer 10

(value, answer)
ex: log_3(1) = (1,0)

Question 11

If equation has same logarithmic value for computing

Answer 11

Solve for x using values