Algebra 1 Common Core Student Edition, Grade 8-9

$ Lesso n Ch eck^

Do y o u k n o w H OW?

G r a p h e a c h f u n c t i o n r u le.

1. y= 2x+4


2. y = ^ x - 7


3. y = 9 - x


4. y=-x2 + 2


5. The function rule h = 18 + 1.5n represents the
   height h, i n in c h e s , o f a s ta c k o f t r a f f i c c o n e s.
   a. M a k e a t a b le f o r t h e f u n c t i o n r u le.
   b. S u p p o s e th e s ta c k o f c o n e s c a n b e n o t a l l e r t h a n
   30 in. W h a t is a reasonable graph o f the fu n c tio n
   rule?

__ MATHEMATICAL

Do y o u UN DERSTAN D? PRACTICES

@ Vocabulary Tell whether each relationship should be

represented by a continuous or a discrete graph.

6. The n u m b e r o f bagels b r e m a in in g i n a d o z e n
   d e p e n d s o n t h e n u m b e r s t h a t h a v e b e e n s o ld.


7. T h e a m o u n t o f gas g r e m a in in g i n t h e t a n k o f a gas
   g r i l l d e p e n d s o n t h e a m o u n t o f t i m e t t h e g r i l l h a s
   been used.

8. E r r o r A n a l y s i s Y o u r f r i e n d g r a p h s

y = x + 3 a t th e r ig h t. D e s c r ib e

and correct your friend’s error.

Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses

Practice Graph each function rule.

MATHEMATICAL

PRACTICES

See Problem 1.

9.y = x - 3 10 .y = 2 x + 5^11 .y=

COXI CM

12 .y = 5 + 2x 13. I X

II CO 14.

y =-5x+ 12

15.y=10x 16.y = 4x - 5 17.y =9 — 2x

18.

II CMXI r-H 19.y = f x + 2 20.

y =^1 2 21

Graph each function rule. Explain your choice of intervals on the axes

of the graph. Tell whether the graph is continuous or discrete.

See Problems 2 and 3.

21. Beverages The height h, i n in c h e s , o f th e j u ic e i n a 2 0 - o z b o t t le d e p e n d s o n t h e
    a m o u n t o f j u ic e / i n o u n c e s , t h a t y o u d r in k. T h is s it u a t io n is r e p r e s e n te d b y th e
    f u n c t i o n r u le h = 6 — 0.3/


22. Trucking The total w eight w, in pounds, o f a tra cto r-tra ile r capable o f carrying
    8 cars d e p e n d s o n th e n u m b e r o f ca rs c o n th e t r a ile r. T h is s it u a t io n is r e p r e s e n te d
    by the function rule w = 37,000 + 4200c.


23. Food Delivery T h e c o s t C, i n d o lla r s , f o r d e liv e r e d p iz z a d e p e n d s o n t h e n u m b e r p
    of pizzas ordered. This situation is represented by the function rule C = 5 + 9p.

c

PowerAlgebra.com J Lesson 4-4 Graphing a Function Rule^257