a. C < -120/7, (Function (Function is negative).
When C > 120, (Function is positive).
b. y = 58°F
When F < 32, (Function is negative).
When F > 32, (Function is positive).
When is a Function Positive or Negative?
If the y-values (output) are greater than zero (0), the function is positive. On the other hand, if the y-values (output) are less than zero (0), then the function is negative.
a. Given the function that represents degree Fahrenheit in terms of degree Celsius, the function would be positive if the values of y (degree Fahrenheit) are greater than 32 (0°C).
The function would be negative if the y-values (degree Fahrenheit) are less than 32 (0°C).
Therefore, when C < -120/7, degree Fahrenheit is < 32 degrees. (Function (Function is negative).
when C > 120, degree Fahrenheit is > 32 degrees (Function is positive).
b. y = 1.8c + 32
y = 1.8(15) + 32
y = 58°F
c. y = 1.8c + 32
y - 32 = 1.8c
(y - 32)/1.8 = c
c = (y - 32)/1.8
When F < 32, degree Celsius is less than 0 (Function is negative).
When F > 32, degree Celsius is greater than 0 (Function is positive).
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