Question

The graph of a quadratic function with vertex (-1,4) is shown in the figure below. Write the domain and range in interval notation.

Answer 1

Background:

• Domain,: a set of all possible values of the independent variable (,x,, in this case).

,

• Range,: a set of all possible values of the dependent variable (,y,, in this case), after substituting the domain.

Based on the arrows of the function, we can conclude that those extend to infinity (negative and positive).

Also, based on the coordinates of the vertex given we can see that the first value of y is 4.

Answer:

• Domain

`(-\infty,\infty)`

• Range

`(4,\infty)`