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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.​


Identify The Range Of The Function Shown In The Graph A 2 2B 2 Lt Ylt 2 C Ygt 0 D Yis All Real Numbers class=

Sagot :

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,

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]

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

Range = [tex]-\infty<y<\infty[/tex]

Range = [tex](-\infty, \infty)[/tex]

Range = y is all real numbers.​

Therefore, the correct option is D.

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