Question

Having a tough time solving this practice myself I need help

Answer 1

In general, the range of the sine function is

`sin(y)\in\lbrack-1,1\rbrack`

Therefore, in the case of f(x),

`sin((7x)/(3)+(1)/(6))\in\lbrack-1,1\rbrack,x\in\Re`

Thus, as for the minimum and maximum values of f(x),

`\begin{gathered} \Rightarrow f(x)=-19*-1-3=19-3=16\rightarrow\text{ maximum} \\ and \\ f(x)=-19*1-3=-19-3=-22\rightarrow\text{ minimum} \end{gathered}`

This, the answer is 'from a low temperature of -22°F to a high of 16°F'