Unit 2 Flashcard Practice:Domain,Cmpd Int,Linear & Expon. Functions

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = ab^x, where a is a constant, b is the base, and x is the exponent. It shows rapid growth or decay.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you identify a linear function from a graph?

Back

A linear function will graph as a straight line. If the graph curves or has a changing slope, it is not linear.

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear function, where m is the slope and b is the y-intercept.

Front

What is the difference between a linear and an exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage, leading to faster growth over time.

Front

What does the term 'compound interest' mean?

Back

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Front

What is the formula for compound interest?

Back

The formula for compound interest is 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, n is the number of times interest is compounded per year, and t is the number of years.

Front

What does the variable 'n' represent in the compound interest formula?

Back

In the compound interest formula, 'n' represents the number of times interest is compounded per year.