Question

The maximum value of the function is: 2 pi12.25The minimum value of the function is:pi/2-1-0.25On the interval (0, something/2), the function is: IncreasingDecreasingThe range of the function is:[-1, 1][-0.25, 2.25]All real numbers

Answer 1

Given the trigonometric function:

`(x)=(5)/(4)\sin(x)+1`

we have

1) The maximum value of the function is

`\begin{gathered} (5)/(4)+1=(9)/(4) \\ \Rightarrow2.25 \end{gathered}`

2) The minimum value of the function is

`-0.25`

3) On the interval (0, π/2), the function is

`Increasing`

4) The range of the function is

`[-0.25,\text{ 2.25\rbrack}`