Warm-Up: Domain and Range of Graphs

Front

What is the definition of RANGE in the context of a graph?

Back

The RANGE of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the RANGE from a graph?

Back

To determine the RANGE from a graph, identify the lowest and highest points on the y-axis that the graph reaches.

Front

What is the definition of DOMAIN in the context of a graph?

Back

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

Front

How do you determine the DOMAIN from a graph?

Back

To determine the DOMAIN from a graph, identify the leftmost and rightmost points on the x-axis that the graph reaches.

Front

What does it mean if a RANGE is expressed as y ≤ 4?

Back

It means that the output values (y) can be any number less than or equal to 4.

Front

What does it mean if a DOMAIN is expressed as -2 < x ≤ 3?

Back

It means that the input values (x) can be any number greater than -2 and up to and including 3.

Front

What is the significance of closed and open intervals in DOMAIN and RANGE?

Back

Closed intervals include the endpoints (e.g., [a, b]), while open intervals do not (e.g., (a, b)). This affects whether certain values are included in the DOMAIN or RANGE.

Front

How can you represent the RANGE of a function using interval notation?

Back

The RANGE can be represented using interval notation, such as (-∞, 4] for y-values less than or equal to 4.

Front

What is the difference between a finite and infinite RANGE?

Back

A finite RANGE has specific upper and lower bounds, while an infinite RANGE extends indefinitely in one or both directions.

Front

What does it mean if a DOMAIN is expressed as x ≥ 0?

Back

It means that the input values (x) can be any number greater than or equal to 0.