Question

Describe the y-intercept and end behavior of the following graph: The graph starts on the top left and curves down to the right, crosses the x axis at negative 2, then crosses the y axis at negative 4 and continues decreasing to the bottom right.

Answer 1

The graph starts on the bottom left and curves up to the right, crosses the y axis at negative 8, then crosses the x axis at 2 and continues increasing to the top right.

Explanation:

Answer 2

End behavior:

`f(x)\rightarrow \infty\text{ as }x\rightarrow -\infty`

`f(x)\rightarrow -\infty\text{ as }x\rightarrow \infty`

y-intercept = -4

Explanation:

It is given that the graph starts on the top left and continues decreasing to the bottom right.

It means,

`f(x)\rightarrow \infty\text{ as }x\rightarrow -\infty`

`f(x)\rightarrow -\infty\text{ as }x\rightarrow \infty`

The graph crosses the x-axis at negative 2. It means the graph intersect the x-axis at (-2,0). So, the x-intercept is -2.

The graph crosses the y-axis at negative 4. It means the graph intersect the y-axis at (0,-4). So, the y-intercept is -4.