Function Test Review #2

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 does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a given input.

Front

What is an increasing interval in a function?

Back

An increasing interval is a range of x-values where the function's output (y-value) increases as x increases.

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 the difference between closed and open intervals?

Back

A closed interval includes its endpoints (e.g., [a, b]), while an open interval does not include its endpoints (e.g., (a, b)).

Front

How do you find the range of a function from a graph?

Back

To find the range from a graph, identify the lowest and highest y-values that the graph reaches.

Front

What is the notation for an increasing interval?

Back

Increasing intervals are often denoted in interval notation, such as (a, b) or [a, b].

Front

Back

This notation represents an open interval from -1.5 to 2.5, meaning it includes all numbers between -1.5 and 2.5 but not -1.5 and 2.5 themselves.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

How do you determine if a function is increasing or decreasing?

Back

A function is increasing if the y-values rise as x-values increase, and decreasing if the y-values fall as x-values increase.