Question

For the function y=-1+6cos(2pi/7(x-5)) what is the minimum value?

Answer 1

Answer:

The minimum value of y is -7

Step-by-step explanation:

Given: $y=-1+6\cos(\dfrac{2\pi}{7}(x-5))$

We are given a cosine function.

We need to find minimum value of function.

$y=-1+6\cos(\dfrac{2\pi}{7}(x-5))$

Here y is depends on cosine function.

y is minimum when cosine is minimum because y is directly proportional to cosine function.

Minimum value of cos x is -1

Therefore, For minium value of y

$\cos(\dfrac{2\pi}{7}(x-5))=-1$

Minimum value of y

$y=-1+6(-1)$

$y=-7$

Hence, The minimum value of y is -7