Question

The illustration below shows the graph of y as afunction of xComplete the following sentences based on thegraph of the function.(Enter the x-intercepts from least to greatest.)* This is the graph of a (nonlinear, linear orconstant) function.* The y-intercept of the graph is the function value y = ___.The x-intercepts of the graph (in order from leastto greatest) are located at x = ___ and x = ___.* The greatest value of y is y = ___ and it occurswhen x = ___.* For x between x = 2 and x = 6, the function value y (<, 2, or =) 0.

Answer 1

* This is the graph of a (nonlinear, linear or constant) function.

Answer:

This is the graph of a nonlinear function (In this case it is a quadratic function).

--------------------------------------------------------------------------------------

The y-intercept of the graph is the function value y =

Answer:

From the graph we can conclude that, the y-intercept is:

`y=-6`

----------------------------------------------------------------------------

The x-intercepts of the graph (in order from least to greatest) are located at x = ___ and x = ___.

Answer:

From the graph, we can conclude that the x-intercepts are located at:

`\begin{gathered} x=2 \\ and \\ x=6 \end{gathered}`

----------------------------------------------------------------------

The greatest value of y is y = ___ and it occurs

Answer:

From the graph, we can see that the vertex of the function is:

`\begin{gathered} y=2 \\ when \\ x=4 \end{gathered}`

----------------------------------------------------------------

For x between x = 2 and x = 6, the function value y is.

Answer:

For those values, y is always greater than or equal to 0, so:

`2\le x\le6\to y\ge0`