Question

Can somebody help me with this !!!!!!!thanks

Answer 1

Given:

The graph of a parabola.

To find:

The domain, range and check whether it is a function or not.

Solution:

Domain: The set of x-values or input values is known as domain.

Range: The set of y-values or output values is known as range.

A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.

Vertical line test: Each vertical line intersect the graph at most once.

The given function is defined for all real values of x which are greater than or equal to -3. So, the domain of the given graph is:

$Domain=[-3,\infty)$

The given function values can be any real number. So, the range of the given graph is:

$Range=(-\infty,\infty)$

For x=0, we have two values of the function because the graph intercept the y-axis at two points.

Since the graph does not pass the vertical line test therefore the given graph is not a function.