Question

Choose the function whose graph is given by

Answer 1

Answer:

Option: A is the correct answer.

     A.  $y=4\sin(x+1)-2$

Step-by-step explanation:

By looking at the graph we observe that the maximum value of the function is 2 and the minimum value pf the function is: -6

Also the maximum value is obtained at

B)

   $y=4\cos(x-1)+2$

The maximum/minimum value of the function is obtained when the cosine function is maximum/minimum.

As we know that maximum value of cosine function is: 1

and minimum value of cosine function is: -1

Hence, we get maximum value of the given function is: 6

and minimum value of the given function is: -2

Hence, option: B is incorrect.

C)

  $y=6 \sin(x+1)-2$

The maximum/minimum value of the function is obtained when the sine function is maximum/minimum.

As we know that maximum value of sine function is: 1

and minimum value of sine function is: -1

Hence, we get maximum value of the given function is: 6-2=4

and minimum value of the given function is: -6-2= -8

Hence, option: C is incorrect.

D)

                  $y=4\sin(x-1)-2$

The maximum/minimum value of the function is obtained when the sine function is maximum/minimum.

As we know that maximum value of sine function is: 1

and minimum value of sine function is: -1

Hence, we get maximum value of the given function is: 4-2=2

and minimum value of the given function is: -4-2= -6

Also, when x=1 we have:

             y= -2

but at x=1 the value of the function is positive.

Hence, option: D is incorrect.

A)

                   $y=4\sin(x+1)-2$

When we graph the function we see that it matches the given graph and hence, option: A is correct.

Answer 2

a is the answer with the matching graph