month 1 2 3 4 5 6 7 8 9 10 11 12 ============================================================= # days 31 28* 31 30 31 30 31 31 30 31 30 31 * 29 if the year is a leap year
The number of days in a month is a function of the month. In other words, the number of days in a month depends on the month.
f(m) = value obtained from the "month-to-# days" table
m: an integer that represents the month (1=Jan, 2=Feb, etc.)
f(m): the number of days in month 'm'
a. Record the domain for f(m) using interval notation.
b. Record the range for f(m).
c. Explain why f(0) is not defined.
d. f(4) = ____
e. f(2 * 2) + f(10) = ____
f. No or Yes: During leap years, the number of days in the month
of February is f(2)+1.
g. No or Yes: f(m) is a constant function.
h. Explain why f(m) is not a linear function.
i. f(7) written as an ordered-pair is ______________.
j. [MAT122] No or Yes: f(m) is a one-to-one function.
k. [MAT122] No or Yes: f(m) has an inverse function.