Question

Please tell me how to do this! I also need where it is decreasing! The range and the end behavior I also need!

Answer 1

The y-intercept is the point on the y-axis where the graph cuts the y axis.

In our case, the y intercept is at: (0, 3)

The x-intercept is the point on the y-axis where the graph cuts the x-axis.

The x-intercept is at points (-3, 0) and (1, 0)

The vertex is the point where 2 curves meet, a certain point that is the highest(or lowest) along the parabola.

The vertex is at point (-1, 4)

It is a maxima because the gradient changes from positive to negative

The domain is a set of input values (or x values) that satisfy a given function.

Domain from the graph is:

`-4\le x\le2`

The range of a function is the set of output values (or y-values) for which the function is valid.

The range from the graph is:

`-5\le x\le4`

The end behavior is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

`\begin{gathered} \text{ As x tends to -}\infty,\text{ y tends to -}\infty \\ \text{ As x tends to }\infty,\text{ y tends to -}\infty \end{gathered}`

The function is increasing at the interval:

`-4\le x\le-1`

The function is decreasing at the interval:

`-1\le x\le2`