Question

help piecewise functions

Answer 1

@Vocaloid

Answer 2

so for each function you would just sketch the graph as if the domain was all real values, then just erase the parts that are excluded by the restriction on the right

Answer 3

so for -x^2 |x| > 1

|x| > 1 means that x > 1 and x < -1, so sketch the graph of -x^2 but only on those specified values

Answer 4

this graph

Answer 5

yeah that should be it

Answer 6

you would just write an equation for each "segment" at a time

Answer 7

since the graph is -3 from (-infinity, -3) (or possibly (-infinity,-3]) the first piece is -3, x < -3 or x <= -3

[the open circle/closed circle thing is a bit trickier)

Answer 8

would that first response be the answer

Answer 9

no (the third segment isn't right)

Answer 10

try writing out the equations for each segment

Answer 11

you also need to consider open circles/closed circles

the answer choice you picked is not defined at x = 3

Answer 12

make sure the piecewise function is defined where the graph is also defined

Answer 13

good

Answer 14

start by plugging in values and see which function is consistent with your results

Answer 15

for example, you want a function that will always give you 15.00 when minutes are less than 60

Answer 16

for minutes 60-61, you get charged 0.50 + the original charge
for minutes 61-62, you get charged 0.50 + 0.50 + the original charge

and so on

pick the answer choice that matches this description

Answer 17

c

Answer 18

good

Answer 19

for 4 you just need to let x = 2.1 and x = 4

and find the corresponding values of the function

make sure to consider what function is appropriate for your given x-value

Answer 20

4 d?

Answer 21

hint: x = 4 means we use the last equation

log2(4) = ?

[the 2 is a subscript]

Answer 22

yes and 2 so it's a or b

Answer 23

good

for x = 2.1 we would use the second equation since 2.1 is between 2 and 4

Answer 24

so f(2.1) = ?

Answer 25

it's a 2.1 =2.205

Answer 26

good

Answer 27

yay thank you that is all for tonight going to bed it's2am