Question

What is the

range of the function graphed below? ((Writing the answers in case you can’t read them well))

A. -infinity < y < 2
B. -2 < y < infinity
C. -infinity < y < -2
D. -infinity < y < infinity

Answer 1

Given:

The graph of a function.

To find:

The range of the graphed function.

Solution:

We know that, the domain is the set of x-values and range is the set of y-values values.

From the given graph it is clear that the functions is defined for all real values of x.

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

`f(x)\to 2\text{ as }x\to \infty`

The values of the function lie in the interval
`-\infty<y<2`.

Range of the function
`=-\infty<y<2`

Therefore, the range of the graphed function is
`-\infty<y<2` and the correct option is A.