Question

Math graphing help. Medals.

Answer 1

;

Answer 2

Its #4 only

Answer 3

Anything?

Answer 4

For #4, draw a vertical line through -4 on the x axis

where does this vertical line cross the red f(x) curve?

Answer 5

@ (-2,1) and (2,2)

Answer 6

oh wait, sorry those are the points of intersection of the two functions, one sec.

Answer 7

at x=3

Answer 8

see attached

Answer 9

does this have to do with the vertical line test?

Answer 10

no, I'm simply asking for the value of f(-4)

Answer 11

oh

Answer 12

Ok, could you help me with the domain and range part of the problem please.?

Answer 13

so you figured out that part already? the f(-4) part?

Answer 14

that wasnt the part I needed help with.. just included it because the graph is required in order to understand the rest of the problem..

Answer 15

I see

Answer 16

the domain is the set of allowed inputs, in other words, the set of allowed x values

Answer 17

ok...

Answer 18

the red f(x) function stretches from x = -4 to x = 4

the function is not defined for other x values (like x = 10)

Answer 19

so that's why the domain is \[\Large -4 \le x \le 4\]

in interval notation, the domain is written as `[-4, 4]` Notice the use of square brackets to mean include the endpoints

Answer 20

what would be the domain of g(x) ?

Answer 21

ok, I'll solve that now, could you explain to me when I include brackets and parenthesis when writing these things..?

Answer 22

The domain of g(x) is [-4,3]

Answer 23

the parenthesis are used to exclude the endpoint

that's when you come across an endpoint with an open circle like so