Question

Which graph represents the piecewise-defined function?

y=⎧⎩⎨⎪⎪5   if  x<−5 −2   if  −5≤x≤6 1    if  x>6

A. https://static.k12.com/nextgen_media/assets/8076136-NG_AL1_Q_02_U04_Quiz_23.png

B. https://static.k12.com/nextgen_media/assets/8076134-NG_AL1_Q_02_U04_Quiz_21.png

C. https://static.k12.com/nextgen_media/assets/8076135-NG_AL1_Q_02_U04_Quiz_22.png

D. https://static.k12.com/nextgen_media/assets/8076138-NG_AL1_Q_02_U04_Quiz_24.png

Answer 1

try splitting into its components, one at a time

Answer 2

5   if  x<−5

Answer 3

−2   if  −5≤x≤6

Answer 4

1    if  x>6

Answer 5

"5   if  x<−5"

this means we have y = 5 for x < -5

meaning an open circle at y = 5 and an arrow pointing straight to the left

Answer 6

sorry typo

Answer 7

which two graphs have this feature?

Answer 8

B.

Answer 9

which other graph?

Answer 10

there's one more besides B

Answer 11

A

Answer 12

try one more time

Answer 13

remember, we want an OPEN circle (looks like an o) at (-5,5)

Answer 14

OH WAIT

Answer 15

C

Answer 16

one more time

Answer 17

OPEN circle

Answer 18

D.

Answer 19

good

Answer 20

now, let's look at the right hand side of the graph

Answer 21

1    if  x>6

now we want an open circle at x = 6, y = 1, with a straight line going to the right

which graph matches? b or d?

Answer 22

B

Answer 23

good b is the answer