Question

Plz help me with this

Answer 1

B

Explanation:

y=(3/2)cos(4x)-1

The smallest value of cos is -1, the largest value of cos 1.

1) y=(3/2)*(-1)-1=-3/2-1= - 5/2 = -2 1/2

2) y=(3/2)*1-1 = 3/2-1=1/2

-2 1/2≤y≤1/2

Answer 2

Answer:
`\bold{-2(1)/(2)\leq y\leq (1)/(2)}`

Explanation:

`(3)/(2)\ \text{represents the amplitude of the graph.}\\\\\text{Which means the maximum is }(3)/(2)\ \text{and the minimum is }-(3)/(2).\\\\\text{The -1 at the end of the equation shifts the maximum and minimum}\\\text{down 1 unit. So the new maximum is }(3)/(2)-1=(1)/(2)\\\\\text{and the new minimum is }-(3)/(2)-1=-2(1)/(2)\\\\\implies \large\boxed{\text{The range is }-2(1)/(2)\leq y \leq (1)/(2)}`