Exponential Functions and Logarithms Test Review

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base (a positive real number), and x is the exponent.

Front

What does APR stand for?

Back

APR stands for Annual Percentage Rate, which is the annual rate charged for borrowing or earned through an investment.

Tags

CCSS.7.RP.A.3

Front

How do you calculate compound interest?

Back

Compound interest can be calculated using the formula A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the number of years.

Front

What is the effective interest rate?

Back

The effective interest rate is the interest rate on a loan or financial product restated from the nominal interest rate as an interest rate with annual compound interest.

Front

Evaluate log_5(25).

Back

log_5(25) = 2, because 5^2 = 25.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value. For example, in log_b(a), b is the base.

Tags

CCSS.HSF.BF.B.5

Front

What is the difference between exponential growth and decay?

Back

Exponential growth occurs when a quantity increases at a rate proportional to its current value, while exponential decay occurs when a quantity decreases at a rate proportional to its current value.

Tags

CCSS.HSF-IF.C.8B

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is N(t) = N_0 * e^(rt), where N(t) is the amount at time t, N_0 is the initial amount, r is the growth rate, and e is Euler's number (approximately 2.71828).

Front

What is the formula for exponential decay?

Back

The formula for exponential decay is N(t) = N_0 * e^(-rt), where N(t) is the amount at time t, N_0 is the initial amount, r is the decay rate, and e is Euler's number.

Tags

CCSS.HSF-LE.A.1A

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.