unit 2

Question 1

Compound interest

Answer 1

A = P(1 + r/n)^nt

Question 2

y = log(-x)

Answer 2

Reflection in the Y-AXIS
Makes the X-VALUE negative compared to parent function (y=logx)

Question 3

y = -log(x)

Answer 3

Reflection in the X-AXIS
Makes the Y-VALUE negative compared to parent function (y=logx)

Question 4

Formatting of expanded form

Answer 4

Multiple logarithms (as many as possible)
Write exponents as coefficients in front of the log
^Includes fractional exponents (don’t write radicals, write fractional exponent and move to front as a coefficient)

Question 5

Formatting of condensed form

Answer 5

Single logarithm
Write exponents as exponents (raised)
Write fractional exponents as radicals

Question 6

How to tell if regular exponential function is growth or decay

Answer 6

If b is positive, it represents growth
If b is between 0 and 1 (fraction), it represents decay
b cannot be negative (it an be positive with a coefficient of -1)

Question 7

How to tell if natural function (e^x) is growth or decay

Answer 7

Base will always be e (2.7 …)
If the coefficient of x is positive, it represents growth
If the coefficient of x is negative, it represents decay