Question

Use graphing technology to find the range of the function f(x)=x2 +6x+9

Answer 1

See below.

Explanation:

Refer to the graph.

The range of a graph is the span of y-values it covers.

From the graph, we can see that the span of y-values is all values greater than or equal to 0.

Therefore, our range is, in interval notation:

`[0,\infty)`

Note that we use brackets with the 0 because 0 is included in our range.

In set notation, this is:

`\{y|y\in\mathbb{R},y\geq 0\}`