Question

The graph of a function is shown:

scatter plot of the points negative 5, 4 and negative 2, negative 1 and negative 1, 3 and 4, negative 3

Which of the following correctly identifies the set of outputs?

{–3, –1, 3, 4}
{–5, –2, –1, 4}
{(–5, 4), (–2, –1), (–1, 3), (4, –3)}
{(4, –5), (–1, –2), (3, –1), (4, –3)}

Answer 1

The correct option is:

`\left\{\left(-5,\:4\right),\:\left(-2,\:-1\right),\:\left(-1,\:3\right),\:\left(4,\:-3\right)\right\}`

Explanation:

There are 4 points that have been scattered on the coordinate plane.

It is clear from the coordinate plane, that those points are located as explained below.

at x=-5, y=4

• so the point (-5, 4) is on the coordinate plane.

at x=-2, y=-1

• so the point (-2, -1) is on the coordinate plane.

at x=-1, y=3

• so the point (-1, 3) is on the coordinate plane.

at x=4, y=-3

• so the point (4, -3) is on the coordinate plane.

Therefore, the correct option is:

`\left\{\left(-5,\:4\right),\:\left(-2,\:-1\right),\:\left(-1,\:3\right),\:\left(4,\:-3\right)\right\}`