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

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.

Step-by-step 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.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,