715.How many points of intersection are there of
the graphs off(x) = x^2 and g(x) = x^4?
a. 0
b. 1
c. 2
d.more than 2
716.How many points of intersection are there of
the graphs of f(x) = 2xand g(x) = 4x^3?
a. 0
b. 1
c. 2
d.more than 2
717.How many points of intersection are there of
the graphs off(x) = ^34 x^2 and g(x) = 156 x^2?
a. 0
b. 1
c. 2
d.more than 2
718.What is the y-intercept of the function
f(x) =?
a.(0,0)
b.(0, –1)
c.(–1, 0)
d.There is no y-intercept.719.What can you conclude about the graph of
y= f(x) if you know that the equation f(x) = 0
does not have a solution?
a.The graph has no x-intercept.
b.The graph has no y-intercept.
c.The graph has neither an x-intercept nor a
y-intercept.
d.There is not enough information to con-
clude anything about the graph off.
720.What can you conclude about the graph
ofy= f(x) if you know that the equation
f(x) = 3 does not have a solution?
a.3 is not in the domain off.
b.3 is not in the range off.
c.The graph of the function cannot have
y-values larger than 3.
d.The graph of the function cannot be defined
for x-values larger than 3.Set 46 (Answers begin on page 238)
This problem set focuses on properties of more
sophisticated functions, including monotonicity,
asymptotes, and the existence of inverse functions.721.The domain off(x) = is
a.(–∞,–2)∪(2,∞)
b.(–∞,2)∪(2,∞)
c.(–∞,–2)∪(–2,0)∪(0,2)∪(2,∞)
d.(–∞,–2)∪(–2,2)∪(2,∞)722.Which of the following are the vertical and hor-
izontal asymptotes for the function
f(x) =?
a.x= –3,x= 4
b.x= –3,x= 4,y= 1
c.x= 4,y= 1
d.y= 1(x – 3)(x^2 – 16)
(x^2 + 9)(x – 4)^2 x
x^3 – 4x–2 –|2 – 3x|
4 – 2x^2 |–x|- ELEMENTARY FUNCTIONS–