PreCal Unit 2 Review (Exponential & Logarithmic Functions)

Front

Evaluate log₅20 to the third decimal place.

Back

1.861

Front

What is the asymptote of y = 2^x?

Back

y = 0

Front

What is the range of the function y = 2^x?

Back

(0, ∞)

Front

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value after 7 years?

Back

$8367.70

Front

What is the transformation of f(x)=(1/2)^x+4-3?

Back

left 4, down 3

Front

Define an exponential function.

Back

A function of the form f(x) = a * b^x, where a > 0 and b > 0.

Front

What is the base of a logarithm?

Back

The number that is raised to a power to obtain a given value.

Front

State the properties of logarithms: Product Rule.

Back

log_b(xy) = log_b(x) + log_b(y) for x, y > 0.

Front

State the properties of logarithms: Quotient Rule.

Back

log_b(x/y) = log_b(x) - log_b(y) for x, y > 0.

Front

State the properties of logarithms: Power Rule.

Back

log_b(xⁿ) = n * log_b(x).