Analyze Key Features of Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What are the key features of a function?

Back

Key features include domain, range, intercepts, increasing/decreasing intervals, and maximum/minimum points.

Front

Define the domain of a function.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

Define 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 are x-intercepts?

Back

X-intercepts are points where the graph of a function crosses the x-axis, meaning the output (y) is zero.

Front

What are y-intercepts?

Back

Y-intercepts are points where the graph of a function crosses the y-axis, meaning the input (x) is zero.

Front

How do you determine where a function is increasing?

Back

A function is increasing on intervals where the output values rise as the input values increase.

Front

How do you determine where a function is decreasing?

Back

A function is decreasing on intervals where the output values fall as the input values increase.

Front

What is a maximum point of a function?

Back

A maximum point is the highest point on the graph of a function in a given interval.

Front

What is a minimum point of a function?

Back

A minimum point is the lowest point on the graph of a function in a given interval.