Name:
Math 432
Dates:
Section:
HW #59 – Functions + Direct/Inverse Variation
1) Four points on the graph of f(x) are shown below.
6) The graph of the equation xy 12 is best
described as:
a. Linear
c. Constant
b. Direct Variation
d. Inverse Variation
2) Given f(x) = x2 – 3 with domain 2  x  4 ,
what is the smallest value in the range of f(x)?
7) Camisha is paying a band $330 to play at her
graduation party. The amount each member
earns, d, varies inversely as the number of
members who play, n. Write an equation that
k
represents this situation in y  form.
x
3) Solve for x and graph the solution set on a number
line:
x2  3x  40
8) Two minutes after a skydiver opens his
parachute, he has descended 1,900 feet. After 5
minutes, he has descended 4,750 feet. If the
distance varies directly as the time, at what rate
is the skydiver descending?
x 1
4) What is the domain of f(x) =
?
x3
5) If f is a linear function, where f  3  1 and
f  5  2 , write the equation of f.
9) Determine whether each linear function is a
direct variation. If so, state the constant of
variation.