Identifying Linear, Exponential & USING TABLES AND PATTERNS

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has 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 grows rapidly as x increases.

Front

How can you identify a linear function from a table of values?

Back

A linear function will show a constant rate of change between the x-values and y-values in the table.

Front

How can you identify an exponential function from a table of values?

Back

An exponential function will show a constant ratio of change between consecutive y-values as x increases.

Front

What is the slope of a line in a linear function?

Back

The slope (m) of a line in a linear function represents the rate of change of y with respect to x. It is calculated as the change in y divided by the change in x.

Front

What does the y-intercept represent in a linear function?

Back

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

Front

What is the difference between linear and exponential growth?

Back

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

Front

What is a table of values?

Back

A table of values is a way to organize pairs of x and y values to analyze the relationship between them, often used to identify the type of function.

Front

How do you create a table of values for a linear function?

Back

To create a table of values for a linear function, choose several x-values, calculate the corresponding y-values using the function's equation, and list the pairs.

Front

How do you create a table of values for an exponential function?

Back

To create a table of values for an exponential function, choose several x-values, calculate the corresponding y-values using the function's equation, and list the pairs.