EXTRA PRACTICE following
2)-5,
which ofthe
= (x-
4 I fstatements
glr)
1. If g(x) = -2x + 7x - 3, what is the value of is true?
over
the
increasing
s-2)? g(x)is
Thefunction
A)
A) -25 entire domain.
over the
decreasing
is
B)-9 function glx)
The
B)
C) -1 entire domain.
for
increasing
D) 3 The
function g(x) is 2.
C) decreasing for x >
x < 2 and
2. If k(x) = 5x +2, what is the value of for
glx) is decreasing
k(4) - k(1) D)The function > 2.
x<2 and increasing for
x
A) 15
function is defined by the equation
B) 17 5. A
function,
which of
For this
C)19 Sx)=-11.
4 corresponds to a
D) 21 domain values
the following
14?
range value of
A) -4
B) 10
C) 38
D) 100
Which of
3. The graph of fx) is shown above.
and range
the following represents the domain
of the function?
A) Domain: fx) > 4; Range: all real numbers
B) Domain: fx) s 4; Range: all real numbers
C) Domain: all real numbers; Range:
fx) 24
Domain: all real numbers; Range:
D)
x ) s4
p(x)
8
10 20 30 40 50 60
6. The figure shows the function Time (minutes)
Which statement about the p(x) |xl. =
true? function is not 8. The graph above shows Carmel's distance
from home over a one-hour
A) p(0) = 0 period, during
which time he first went to the
library, then
B) P(-4)=4 went to the
grocery store, and then returned
home. Which of the
C) P4) =-4
could be true?
following statements
D) The domain of
p(x) is all real numbers. A) The grocery store is about 5 miles
from
Carmel's house.
x+1, ifxSso B) Carmel traveled a total of 7
miles from
fx)=-1, if 0<x<3 the time he left home until
he returned.
4-x, ifx>3 C) The grocery store is 7 miles farther from
Carmel's house than the
library is.
For the piecewise function D) Carmel spent 10 minutes at the
flx) defined above, library and
what is the value
of f-3)? 15 minutes at the
grocery store.
A) -3
B) 7
C) 10
D) -3,7, and 10
9. Based on the figure above, what is the value of
A-2)+g(2)
A) -3
B) 0
C) 3
D) 6
10. If the graph of a function gla) passes thr-
13. A company uses the function Plx) =
150x x?
ough the point (5, 3), and h{x) is defined as to determine how much profit the company
h(x)= -gtx -2) +8, through which point will make when it sells 150 units of a certain
does the graph of h(x) pass? product that sells for x dollars per unit. How
much more profit per unit will the company
A) (-3,11) make if it charges $25 for the product than ifit
B) (3,5) charges $20?
C) (7,5)
D) (7,11)
11. If flt)=r+and g(x)=-1, what is OOOO|
2
t h e value of (fo g)(6)?
A) 2.75
B) 3
@|
C) 3.5
D) 8.625
14. The customer service department of a
12. Ifp is a function defined over the set of all real wireless cellular provider has found that on
numbers and p(x +2) = 3x + 4x + 1, hen Wednesdays,thepolynomial function
C(t) = -0.0815t + + 12t approximates the
which of the following defines px) number of calls received by any given time,
A) p(x) = 3x2 - 7x +3
where f represents the number of hours that
B) p(x) = 3x - 8x +5 have passed since the department opened
C)p(x) = 3x*+16x +9 at 7 AM. Based on this function, how
many
calls can be expected by 5 PM?
D) p(x) = 3x +16x +21
Oo
ch
15. Which of the
following does not represent the
graph of a function?
xgx) x hx)
6
-6-3
-3-2 -4
A) 0-1 2 2
30 3
61 4-2
17. Several values for the functions g(x) and h{x)
are shown in the tables above. What is the
B) value of g(h(3))
A) -1
B) 0
C)3
D) 6
C) which ofthe
18. Iffx) =3 -
x and glx)=
following is not in the range of f(g{x)
A) -3
B)
C) 2
D)
D) 4
16. A biologist is studying the effect
of pollution
on the reproduction of a specific plant. She
uses the function n(p) to represent these
effects, where p is the number of seeds
germinated by the test group of the plant over
given period of time. Which of the following
lists could represent a portion of the domain
for the biologist's
function
A). -150, -100, -50, 0, 50, 100, 150..
B)-150, -100, -50,0, 50, 100, 150}
C) 0,0.25, 0.5, 0.75, 1, 1.25, 1.5..
D) (0, 20, 40, 60, 80...
X
functions
19. Which of the following piecewise the graph
used to generate
could have been
above?
A) glx)=Ix,ifxss4
x <4
-I1,if
A) sx)|-3, ifx>4
-1x1if x<4
B) s*) -3, ifx>4
<4
-xl+1, if x
-3x, ifx>4
+1,ifx
<4
g(x)=
D)
-3, ifx>4
