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Intermediate Algebra Name Chapter 3 Exam Each problem is worth 10 points. You must show all work to receive full credit.
- Match the equation and the domain and range to the graph.
a- /C-^) = a number • Domain : (- x , x) Range: [ 0 , x )
b. f{x) = - X
c. / ( x ) = x
e. f{x) = ^/I
f. fix) =
g. nx)^ii^
n. Doinoin. [ 0 , x ) Range. [ 0 , x )
Domain : (- x , 0 ) U ( 0. x) Rai \qe : (-x , 0 ) U ( 0 , x)
IV. Domain ; ( - x. x) kange. • ( - x , x)
V. DomoJii; ( - x ^ x) ftoiKie ; [ 0 , X )
V I. bomaiii: ( - x x) Roiige. the number
V l l. Domain ; (- x , x) Range• (- x , x)
7
Equation Domain/Range
^ ( las
A_ lort
a Ml
i
I t
- Determine if the following graphs represent a function. If it does represent a function, then state the
domain and range. Otherwise, state N/A. a.
b.
Domain:^ in^ V^dra^unc:^
Range:
- Complete the x- & y- table for - 3>^ = 6
y {x,y)
- J
- Findthex-andj^-interceptsof 7 - - - ^ 6
jr-intercept = (/^ ,0 )
3
Domain; Q^X^fe
"J.
'-intercept = (Crt)
- Write an equation of the hne that goes through the point (6, 8) and perpendicular to the line that goes through the points (-3, 10) and (5, -6). Leave yoixr answer in function notation, f{x) = mx + b.
21
- Let fix) = -X- -5x - 8 and gix) = 3x-
a. b. (^) c. Find (f + g)ia)
Find (f + g)(-2)
Find (« - /)(4)
- Using the graph below, find the value of the following.
a. Find the domain and range of / ( A ).
Domain o f / ( x ) : ^Z ^X-^H
Range of fix) : -.3 •p6c) ^ 3
b. Find the domain and range of gix).
Domain of gix): ^ 2^ ^' X ^ ^
Range of gix): ^ ^
c. F i n d ( g / / ) ( 0 ). J i i ^ - - ^
5-
4-
\ (v)
7
^ A/
\ /2 \ 4 5
/ - ^ \ / ( ^ )
- -3-
d. F i n d ( / - g ) ( l ).
- The demand for a product is the number of items the public is willing to buy at a given price. Suppose the demand, D, for iPods sold in 1 month is a linear function of the price,/*, for $150 < /7 < $400 If the price is $200, then 50 iPods will be sold each month. If the price is $300, only 30 iPods will be sold. (2£XJ '3^') C^^'/ ^C)^
a. Use these data to write the demand, D, as a function of the price, p.
aeo-ZGO too ^
-Xp
b. Using the function from part a), determine the demand when the price of the iPods is $
c. Using the function from part a), determine the price charged i f the demand for iPods is 45.
5 V .(To '^lO
d. If the domain of this function is $150 < < $400, then what is the range of this function?
