Question

Which of the following values are in the range of the function graphed below?

Answer 1

Option A , B , C And E are correct.

Explanation:

We are given with a graph of a function.

We need to find numbers or values which belong to range of the function.

From graph of the function,

Value on x-axis or Horizontal line gives us the Domain of the Function .i.e., ( -∞ , -2 ] and [ 2 , ∞ ) = ( -∞ , -2 ] ∪ [ 2 , ∞ )

Value on y-axis or Vertical line gives us the Range of the Function .i.e.,

( -∞ , -1 ] and [ 1 , ∞ ) = ( -∞ , -1 ] ∪ [ 1 , ∞ )

So, From given values 2 , 1 -4 , -2 belong to range of the function.

Therefore, Option A , B , C And E are correct.

Answer 2

The range of the function as seen from the graph is:

(-∞,-2] ∪ [2,∞)

So all the values that are in this range must be selected from the given options. Therefore, the correct answer is:

Option A: 2
Option C: -4
Option E: -2