Question

Identify the range of the function shown in the graph.

A. {-2, 2}
B. -2 < y< 2
C. y> 0
D. yis all real numbers.​

Answer 1

D. y is all real numbers.​

Explanation:

Range is the set of y-values or output values.

From the given graph it is clear that,

And the value function can be any real number. So,

Range =

Range =

Range = y is all real numbers.​

Therefore, the correct option is D.

Answer 2

Given:

The graph of a function.

To find:

The range of the function.

Solution:

Range is the set of y-values or output values.

From the given graph it is clear that,

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

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

And the value function can be any real number. So,

Range =
`-\infty<y<\infty`

Range =
`(-\infty, \infty)`

Range = y is all real numbers.​

Therefore, the correct option is D.