Choose the function whose graph is given by:

Question

asked Oct 13, 2020 125k views

2 Answers

Diziet · Answer 1 · 2020-10-18T18:11:21+0000

Answer:

The function
$y = 3\sin (x + 3) - 2$ is the correct option here.

Explanation:

See the graph attached.

We have to choose the function from the options which shows the graph given.

The maximum value of the graphed function is 1 and the minimum value is - 5.

Now, the function
$y = 3\sin (x + 3) - 2$ is the correct option here.

We know that for any value of
$\theta$ ,
$\sin \theta$ has maximum value of 1 and minimum value is - 1.

Therefore,
y_(max) = 3(1) - 2 = 1

and
y_(min) = 3(- 1) - 2 = - 5

No other options have the minimum value of - 5 and maximum value of 1.