Warm-Up: Domain and Range of Graphs

Front

What is the definition of DOMAIN in the context 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

How do you determine the DOMAIN of a function from its graph?

Back

The DOMAIN can be determined by identifying the x-values that the graph covers, including any restrictions such as holes or vertical asymptotes.

Front

What is the definition of RANGE in the context 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

How do you determine the RANGE of a function from its graph?

Back

The RANGE can be determined by identifying the y-values that the graph covers, including any restrictions such as horizontal asymptotes.

Front

What does the notation '0 ≤ x < 3' indicate about the DOMAIN?

Back

It indicates that x can take any value from 0 to 3, including 0 but not including 3.

Front

What does the notation '-1 ≤ x ≤ 4' indicate about the DOMAIN?

Back

It indicates that x can take any value from -1 to 4, including both -1 and 4.

Front

What does 'All Real Numbers' mean in terms of DOMAIN?

Back

It means that there are no restrictions on the input values; any real number can be used as an input.

Front

What does the notation '-2 ≤ y < 1' indicate about the RANGE?

Back

It indicates that y can take any value from -2 to 1, including -2 but not including 1.

Front

What does the notation 'y ≤ 1' indicate about the RANGE?

Back

It indicates that y can take any value less than or equal to 1, extending down to negative infinity.

Front

What is a vertical line test and how is it used to determine the DOMAIN?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function, which affects the DOMAIN.