Math I: Unit 3
1)
1)
NAME: ________________________________________
EVALUATING FUNCTIONS WORKSHEET
Let
Letg(x)
g(x)==--55xx++2.
2. Evaluate
Evaluateeach
eachof
of
the
following:
the following:
a)
a)g(g(-1)
1)== ___________
___________
a)
a)f(f(-3)
3)== ___________
___________
b)
b)g(g(- 2)
2)== ___________
___________
b)
b)f(6)
f(6)== ___________
___________
c)
c)g(0)
g(0)== ___________
___________
c)
c)f(f(-1)
1)== ___________
___________
d)
d)g(5)
g(5)== ___________
___________
d)
d)f(4)
f(4)== ___________
___________
3)
3) Let
Letg(x)
g(x)==xx22++44xx––1.
1. Evaluate
Evaluateeach
eachof
of
the
thefollowing:
following:
5)
5)
2)
2) Let
Letf(x)
f(x)==22xx++2.
2. Evaluate
Evaluateeach
eachof
ofthe
the
following:
following:
4)
4) Let
Letf(x)
f(x)==3x
3x22––55x.
x. Evaluate
Evaluateeach
eachof
ofthe
the
following:
following:
a)
a)g(g(-4)
4)== ___________
___________
a)
a)f(2)
f(2)== ___________
___________
b)
b)g(8)
g(8)== ___________
___________
b)
b)f(f(- 8)
8)== ___________
___________
c)
c)g(g(-1)
1)== ___________
___________
c)
c)f(7)
f(7)== ___________
___________
d)
d)g(1)
g(1)== ___________
___________
d)
d)f(f(-1)
1)== ___________
___________
Suppose
Supposef(x)
f(x)==44xx––2.
2. Determine
Determine xx
such
that:
such that:
6)
6)
Suppose
Supposen(x)
n(x)==77xx++4.
4. Determine
Determine xx
such
that:
such that:
a)
a)f(x)
f(x)== 18
18___________
___________
a)
a)n(x)
n(x)== 39
39___________
___________
b)
b)f(x)
f(x)== 00___________
___________
b)
b)n(x)
n(x)== 00___________
___________
c)
c)f(x)
f(x)== --22___________
___________
c)
c)n(x)
n(x)== 44___________
___________
d)
d)f(x)
f(x)==12
12 ___________
___________
d)
d)n(x)
n(x)==13
13 ___________
___________
7)
7) Suppose
Supposeg(x)
g(x)==--55xx++6.
6. Determine
Determine xx
such
that:
such that:
8)
8) Suppose
Supposeg(x)
g(x)==--33xx++8.
8. Determine
Determine xx
such
that:
such that:
a)
a)g(x)
g(x)== 21
21___________
___________
a)
a)g(x)
g(x)== 14
14___________
___________
b)
b)g(x)
g(x)== 00___________
___________
b)
b)g(x)
g(x)== 00___________
___________
c)
c)g(x)
g(x)==--66 ___________
___________
c)
c)g(x)
g(x)==--14
14 ___________
___________
d)
d)g(x)
g(x)==14
14 ___________
___________
d)
d)g(x)
g(x)==15
15 ___________
___________
9)
9)
Evaluate
Evaluatethe
thefollowing
followingexpressions
expressions
given
the
given thefunctions
functionsbelow:
below:12
12
2
g(x)
f(x)== xx2++77 hh((xx)) x
g(x)== --33xx++11 f(x)
x
j(x)
j(x)== 22xx++99
a)
a)g(10)
g(10)== ___________
___________b)
b)f(3)
f(3)==___________
___________
c)
c)h(h(-2)
2)==__________
__________ d)
d)j(7)
j(7)==__________
__________
e)
e)Find
Findxxififg(x)
g(x)==16.
16. ____
____
f)
f)Find
Findxxif
ifh(x)
h(x)==--2.
2. ____
____
g)
g) Find
Findxxif
iff(x)
f(x)==23.
23. ____
____
10)
10) Translate
Translatethe
thefollowing
followingstatements
statementsinto
into
coordinate
coordinatepoints:
points:
a)
a) f(-1)
f(-1)==1___________
1___________
b)
b) h(2)
h(2)==7___________
7___________
c)
c)g(1)
g(1)==-- 1___________
1___________
d)
d)k(3)
k(3)==9___________
9___________
12)
12)a.)
3, then
a.) IfIf f(x)
f(x)==77xx––3,
thenfind
find f(0).
f(0). ____
____
b.)
b.) IfIf f(t)
f(t)==||55tt|,|,then
thenfind
find f(2).
f(2). ____
____
2
c.)
c.) IfIf g(x)
g(x)==xx2++88xx––66,,then
thenfind
find g(1).
g(1).
____
____
d.)
d.) If
If f(b)
f(b)==33bb,,then
thenfind
find f(3).
f(3).
____
____
13)
13) Denise
Denisedecides
decidesto
tostudy
studyabroad
abroadin
in
France.
France. She
Shehas
hasto
toexchange
exchangeher
her
dollars
dollarsfor
forEuros.
Euros. The
Thefollowing
following
function
describes
the
exchange
function describes the exchangerate
rate
between
betweendollars
dollarsand
andEuros:
Euros:
f(d)
f(d)==.75
.75dd
14)
14) The
Theprofit
profitfrom
fromselling
selling ss number
numberof
oft-tshirts
shirtsis
isdescribed
describedby
bythe
thefollowing
following
function:
function:
p(s)
p(s)==88ss––500
500
Find
Find p(70)
p(70) __________
__________
Find
Findf(200).
f(200). _____________
_____________
15)
15) The
Thevalue
valueof
ofaacar
caris
isgiven
givenby
bythe
the
following
function:
following function:
16)
16) Daniel’s
Daniel’sincome
incomefor
forthe
thefall
fallsemester
semesteris
is
described
by
the
following
function:
described by the following function:
v(t)
v(t)==20,000(.90)t
20,000(.90)t
f(h)
f(h)==1,000
1,000++99hh
Find
Find v(1)
v(1) __________
__________
Find
Find f(320)
f(320) __________
__________
17)
17) Felix’s
Felix’stotal
totalcredit
creditcard
cardbalance
balanceis
is
described
describedby
bythe
thefollowing
followingfunction:
function:
18)
18) The
Thestudy
studytime
timeper
percredit
credithour
houris
is
described
describedby
bythe
thefollowing
followingfunction:
function:
c(p)
c(p)==p(1.30)
p(1.30)
s(c)
s(c)==33cc
Find
Find p(2500)
p(2500) __________
__________
Find
Find s(15)
s(15) __________
__________
19)
19) The
The total
total amount
amount of
of gas
gas money
money is
is
determined
determined by
by the
the following
following function:
function:
c(g)
c(g) ==
600g
600g
30
30
Find
Find c($
c($ 3.00)
3.00) _________
_________
20)
20) The
Thenumber
numberof
ofFacebook
Facebookfriends
friendsyou
you
make
d
days
after
arriving
make d days after arrivingon
oncampus
campus
is
isdescribed
describedby
bythe
thefollowing
followingfunction:
function:
f(d)
f(d)==22dd
Find
Find f(7)
f(7) _________
_________