For the function g (x) shown graphed below, over which of the following intervals is g (x) > 0

The function g(x) is greater than zero when the value of x lies in between -3 and 5 and this can be determined by using the given graph.

Given :

The graph of the function g(x) is given.

The following steps can be used in order to determine the interval for g(x):

Step 1 - The value of g(x) means the value of y.

Step 2 - The value of g(x) is positive when the graph of g(x) is in the first or in the second quadrant.

Step 3 - So, according to the graph function g(x) is positive when the value of x is in between -3 and 5.

Therefore, the correct option is 3).

For more information, refer to the link given below:

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g(-1) is lesser than 0 while h(-1) is -3(-1) + 8 = 11 so g(-1) is lesser than h(-1)

g(1) is 5 while h(1) is -3(1) + 8 = 5 so g(1) is equal to h(1)

Step-by-step explanation:

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