Algebra 1 Common Core Student Edition, Grade 8-9

I.. @ Common Core State Standards

Graphm a Functions A-REI.D.11 Explainwhythex-coordinates...

I w where the graphs of the equations y-f{x) and

_ _ _ i f * .. I * _. F _________JL*____________y = g(x) intersect are the solutions o f the

and s o lv in g tc ju o iio n s equation

Y o u h a v e le a r n e d t o g r a p h f u n c t i o n r u le s b y m a k in g a t a b le o f v a lu e s. Y o u c a n a ls o u s e

a g r a p h in g c a lc u la t o r t o g r a p h f u n c t i o n ru le s.

Ex a m p l e 1

Graph y = |jc — 4 using a graphing calculator.

Step 1 P re ss th e k e y. T o th e r i g h t o f Y j =, e n t e r \x - 4 by

pressing 1 4 } 2 4P & & £} 4.

Step 2 T h e s c re e n o n th e g r a p h in g c a lc u la t o r is a " w i n d o w " t h a t le ts y o u l o o k a t

only part of the graph. Press the key to set the borders of the graph.

A g o o d w in d o w f o r t h is f u n c t i o n r u le is th e s ta n d a r d v ie w in g w in d o w ,

-1 0 <r<10 and —10 <y< 10.

Y o u c a n h a v e t h e axes s h o w 1 u n i t b e tw e e n t i c k m a r k s b y s e t t in g Xsd and

Yscl t o 1, as s h o w n.

MATHEMATICAL

PRACTICES

Co n cep t Byt e

Use W ith Lesson 4 -4

WINDOW

Xmin = -1 0

Xmax = 10

Xsd = 1

Ymin = - 1 0

Ymax = 1 0

Yscl = 1

Xres = 1

Step 3 Press the key. The graph o f the fu n c tio n ru le is show n.

260 Concept Byte Graphing Functions and Solving Equations