Question

Determine the equation of the function. Be sure to include the function for all values of the domain.

Answer 1

@jim_thompson5910

Answer 2

how far did you get with this?

Answer 3

i don't really get what its asking...

Answer 4

you need to figure out the piecewise function for that graph

have you learned about piecewise functions?

Answer 5

is like step functions?

Answer 6

yes it depends on which step functions you're referring to

Answer 7

With Linear Functions?

Answer 8

notice how the graph looks like it's a connection of 2 other graphs (just they haven't been fully drawn, only pieces of them have been drawn)

do you see what I'm describing here?

Answer 9

yup

Answer 10

notice how the left piece is some linear equation

the right piece is some different linear equation

Answer 11

you need to find the equations of each piece

Answer 12

so y=2x+3, and y=5

Answer 13

let me check

Answer 14

good, those pieces have restrictions

do you know what I'm referring to?

Answer 15

no...

Answer 16

look at the piece on the left

that is the equation y = 2x+3

is that line graphed when x is larger than 0?

Answer 17

yes

Answer 18

are you sure?

you're saying that y = 2x + 3 is plotted when x is larger than 0?

Answer 19

oh haha never mind! is it plotted when x is less than 0?!

Answer 20

yes it is

Answer 21

actually sorry, not x < 0, but x < 1

notice how the two pieces join at x = 1

Answer 22

so the first piece is

y = 2x + 3 if x < 1

Answer 23

the second piece is

y = 5 if x > 1

Answer 24

thank you! :)

Answer 25

you're welcome