Question

Which graph represents the piecewise-defined function?

y=⎧⎩⎨⎪⎪5   if  x≤−2 0   if  x=3 −1   if  x>3

A. https://static.k12.com/nextgen_media/assets/8112472-NG_AL1_Quiz_4_11_Pool4_Var3_C.jpg

B. https://static.k12.com/nextgen_media/assets/8112470-NG_AL1_Quiz_4_11_Pool4_Var3_A.jpg

C. https://static.k12.com/nextgen_media/assets/8112471-NG_AL1_Quiz_4_11_Pool4_Var3_B.jpg

D. https://static.k12.com/nextgen_media/assets/8112473-NG_AL1_Quiz_4_11_Pool4_Var3_D.jpg

Answer 1

think about our process from before

Answer 2

5   if  x≤−2

open circle or closed?

Answer 3

as a reminder

for < and > we use an open circle
for ≥and ≤ we use a closed circle

Answer 4

CLOSED

Answer 5

good

which 2 graphs have a closed circle at x = -2, y = 5?

Answer 6

B and A

Answer 7

yes good

Answer 8

it also tells us y = 0 when x = 3

Answer 9

so which graph has a point on (3,0)?

Answer 10

B

Answer 11

good so b is the answer