Which is an x-intercept of the continuous function in the table? (0,-6) (3,0) (-6, 0) (0, 3)

If the graph of a function crosses the x-axis, then the function has an x-intercept. The x-intercept(s) of a function are called the zeros or the roots of the function.
If the graph of function crosses the y-axis, then the function has a y-intercept. A function can have at most one y-intercept.
To find the x-intercepts, we need to find all the x-values that support the equation [tex]\boxed{ \ f(x) = 0 \ }.[/tex] An x-intercept is the first component of the ordered pair [tex]\boxed{ \ (k, 0) \ }[/tex] where k is any real number.
A y-intercept is the second component of the ordered pair [tex]\boxed{ \ (0, c) \ }[/tex] where c is any real number.

From the table provided, we can state that:

an x-intercept is (3.0),
a y-intercept is (0, -6).

Notes:

A relation is a set of ordered pairs. The set of all the first components is called the domain and the set of all the second component is called the range of the relation.
A relation can be represented by a list, by a table, by a map, or by a graph.
A function f is a relation that assigns to each element x in the set A exactly one element y in set B.
Set A is called the domain of the function f, and is denoted by [tex]\boxed{ \ D(f) \ }[/tex]
Set B is called the range of the function f, and is denoted by [tex]\boxed{ \ E(f) \ }[/tex]
We name x as the independent variable or the argument, and y (or f(x)) as the dependent variable.

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