Algebra 1 Common Core Student Edition, Grade 8-9

Challenge 40. Reasoning G r a p h t h e f u n c t i o n r u le s b e lo w i n t h e s a m e c o o r d in a t e p la n e.

y=|x| + l y= |x|+ 4 y = |x |-3

In the fu n c tio n ru le y = |x| + k, h o w d o e s c h a n g in g th e v a lu e o f k

affect the graph?

^ 41. Reasoning Make a table of values and a graph for the function rules y = 2x

a n d y = 2 x 2. H o w d o e s th e v a lu e o f y c h a n g e w h e n y o u d o u b le th e v a lu e o f x f o r

each fu n ctio n rule?

Apply What You've Learned

MATHEMATICAL

PRACTICES

MP4

I n th e A p p ly W h a t Y o u ’v e L e a r n e d i n L e s s o n 4 -2 , y o u i d e n t i f i e d th e r e la t io n s h ip

s h o w n i n J a y d e n ’s b lo g t a b le as a f u n c t io n , a n d y o u w r o t e a f u n c t i o n m o d e lin g

t h e r e la t io n s h ip. N o w lo o k a t t h e f u n c t i o n o n p a g e 2 3 3 m o d e lin g t h e n u m b e r o f

s u b s c r ib e r s to K e ik o ’s b lo g.

a. M a k e a ta b le o f v a lu e s f o r t h e f u n c t i o n t h a t m o d e ls th e n u m b e r o f s u b s c r ib e r s t o

K e ik o ’s b lo g , K= m2 + 10, and graph the ordered pairs from the table.

b. G r a p h t h e o r d e r e d p a ir s u s in g th e d a ta a b o u t J a y d e n ’s b lo g , s h o w n a g a in b e lo w.

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PowerAlgebra.com [ Lesso n 4 -4 G ra p h in g a Fun ctio n Rule^259