Question

Describe the behavior of the graph below.

A. as the input increases The output increases at first until it reaches a maximum after the maximum the output decreases as the input increases.
B. as the input increases the output increases for all values of X
C. as the input increases the output decreases for all values of X
D. as the input increases the output decreases at first until he reaches a minimum after the minimum the output increases as the input increases

Answer 1

From the above observation we can conclude that as the input increases the output increases at first until it reaches a maximum after the maximum the output decreases as the input increases.

Hence, the option A is correct.

Explanation:

Lets analyze the graph.

From the interval x = -4 to x = 2 (as the input value increases), it is clear that the output value also increases at first.

At x = 2.5, the value of y = 7 which is a maximum output value.

From the interval x = 3 to x = 10 (as the input increases) the the output value

tend to decrease from maximum y = 7 to y = -10.

So, from the above observation we can conclude that as the input increases the output increases at first until it reaches a maximum after the maximum the output decreases as the input increases.

Hence, the option A is correct.