Key Features of a graph

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible output values (y-values) that the function can produce. For example, for the graph with a range of [-15, ∞), it means the lowest value is -15 and it can go up to positive infinity.

Front

Describe the end behavior of a graph.

Back

The end behavior of a graph describes how the graph behaves as x approaches positive or negative infinity. For example, if as x→∞, y→∞ and as x→⁻∞, y→⁻∞, the graph rises on both ends.

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions. For example, the parent function of linear functions is f(x) = x.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line. It uses brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.

Front

Express the interval -8 ≤ x < 8 in interval notation.

Back

[-8, 8) - This means x includes -8 but does not include 8.

Front

What does the interval [0, 2) represent in terms of function behavior?

Back

The interval [0, 2) is positive, meaning the function values are greater than or equal to 0 and less than 2.

Front

What is the domain of a graph?

Back

The domain of a graph is the set of all possible input values (x-values) that the function can accept.

Front

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

Back

A function is increasing on an interval if the y-values rise as x-values increase. It is decreasing if the y-values fall as x-values increase.

Front

What is a continuous function?

Back

A continuous function is one where there are no breaks, holes, or jumps in the graph. It can be drawn without lifting the pencil.

Front

What is a discontinuous function?

Back

A discontinuous function has breaks, holes, or jumps in its graph, meaning it cannot be drawn without lifting the pencil.