Algebra 2 Graphing Review

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase that can be represented by the equation y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease, represented by the equation y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate, and 't' is time.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches or crosses. It can be vertical, horizontal, or oblique.

Front

How do you identify a vertical asymptote in a logarithmic function?

Back

A vertical asymptote in a logarithmic function occurs at the value of x that makes the argument of the logarithm zero.

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is f(x) = a * b^x, where 'a' is a constant, 'b' is the base (b > 0), and 'x' is the exponent.

Front

What does the graph of a logarithmic function look like?

Back

The graph of a logarithmic function is a curve that increases slowly and has a vertical asymptote, typically located at the x-value that makes the argument zero.

Front

What is the difference between growth and decay in exponential functions?

Back

Growth occurs when the base of the exponential function is greater than 1, while decay occurs when the base is between 0 and 1.

Front

How do you determine the y-intercept of a function?

Back

The y-intercept of a function is found by evaluating the function at x = 0.