- Reasoning Can the graph of a function be a horizontal line? A vertical line? Explain.
0 Challenge 36. To form th e inverse of a relation w ritten as a set of ordered pairs, you switch
th e coordinates of each o rdered pair. For example, th e inverse of th e relation
{(1,8), (3, 5), (7, 9)} is {(8,1), (5, 3), (9, 7)}. Give an exam ple of a relation th a t is a
function, b u t w hose inverse is not a function.Use the functions /( x ) = 2xandg(x) = x2 + 1 to find the value of each expression.- /(3) + g(4) 38. g(3) + /(4 ) 39./(5 ) - 2 • g(l) 40. /(g(3))
^SAT/ACT
St a n d a r d i ze d Test Pr ep
41. W hat is the value of th e function f{ x ) = I x w h e n x = 0.75?GRIDDED RESPONSE- Andrew needs x dollars for a snack. Scott n ee d s 2 m ore dollars th a n Andrew, b u t
Nick only n eeds half as m any dollars as Andrew. A ltogether they n e e d $17 to pay for
their snacks. How m any dollars does Nick need? - W hat is th e greatest n u m b e r of $.43 stam ps you can buy for $5?
- W hat is the greatest possible w idth of th e rectangle, to th e n ea rest inch? € = 35 in.
A < 184 in.2
Mixed Review
Write a function rule to represent each situation.- You baby-sit for $5 p er h o u r an d get a $7 tip. Your earnings E are a function of the
number of hours h y ou work. - You buy several pairs of socks for $4.50 p e r pair, plus a shirt for $10. The total
amount a you spend is a function of th e n u m b e r of pairs of socks s you buy.
See Lesson 4-5.- The graph shows a family’s distance from
h o m e as they drive to th e m o u n tain s for a
vacation.
a. W hat are th e variables in th e graph?
b. Copy th e graph. D escribe how th e
variables are related at various points on
the graph.
Get Ready! To p r e p a r e f o r Lesson 4-7,
do Exercises 48-50.
Evaluate each expression for x = 1, 2,3, and 4.- 9 + 3(x - 1) 49. 8 + 7(x — 1)
A Trip to the Mountains See Lesson 4-1.See Lesson 1-2.- 0.4 — 3(x — 1)
G
PowerAlgebra.com | Lesso n 4 -6 Fo r m a l i zi n g Re l at i o n s an d Fu n ct i o n s 273