Over a 24-hour period, the temperature in a town can be modeled by one period of a sinusoidal function. the temperature measures 70°f in the morning, rises to a high of 80°f, falls to a low of 60°f, and then rises to 70°f by the next morning. what is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24 hour period, that models the situation?

10sin(πx12)+70

Step-by-step explanation:

Just took test this is the correct answer hope it helps

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: