Exponential Graphs Review

Front

What is the range of an exponential graph with a horizontal asymptote at y = -6?

Back

y > -6

Front

What type of equation is y = 2x + 4?

Back

Linear

Front

How can you determine if a graph is linear or exponential?

Back

A linear graph has a constant rate of change, while an exponential graph has a variable rate of change that increases or decreases rapidly.

Front

What does exponential decay mean?

Back

Exponential decay refers to a decrease in quantity at a rate proportional to its current value, resulting in a rapid decline.

Front

What is the y-intercept of the function y = 2x + 4?

Back

(0, 4)

Front

What is the general form of an exponential function?

Back

y = ab^x, where a is a constant and b is the base.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when a quantity increases rapidly, while exponential decay occurs when a quantity decreases rapidly.

Front

What is an asymptote in the context of exponential graphs?

Back

An asymptote is a line that a graph approaches but never touches, often representing a limit.

Front

How do you identify the y-intercept on a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, represented as (0, y).

Front

What does it mean if a graph is linear?

Back

A linear graph represents a constant relationship between variables, forming a straight line.