Question

Which of the following interval notations represent the range of the graph

Answer 1

SOLUTION:

Step 1 :

In this question, we are meant to find the interval notations that represents the range of the graph.

Step 2:

From the graph, we can see that the co -coordinates of A, B , C , D and E are as follows:

From the graph, we can estimate the co-ordinates as follows:

$\begin{gathered} A\text{ = ( - 5. - 3)} \\ \text{B = ( - 4 , 0 )} \\ \text{C = ( 0, 2 )} \\ D\text{ = ( 4, 0 )} \\ E\text{ = ( 10, 3)} \end{gathered}$

Step 3:

Now, we are to get the interval that represents the range of the graph:

From the graph, we can see that:

$\begin{gathered} f\text{ ( - 5 ) = -3} \\ f(\text{ -4 ) = 0} \\ f\text{ ( 0 ) = 2} \\ \text{f ( 4) = 0} \\ f\text{ ( 10 ) = 3 ( but this an open interval )} \end{gathered}$

Now, to get the range, we can see that:

The correct interval notation that represents the range of the notation is :

$\lbrack\text{ -3, 3 ) --- OPTION A}$

Reason :

This is because all the values of y- co-ordinates are contained in the interval:

$\lbrack-\text{ 3, 3 ) -- OPTION A}$