Question

Precalculus help please?

Answer 1

Draw a vertical line through x = -2

where does this vertical line cross the red curve?

Answer 2

I already know part a is 1, -1, 3, 4 but I don't understand part b, c, or d

Answer 3

b)

the domain is the set of allowed x values
so basically you state all of the x coordinates of each point as one big set

Answer 4

the range is the possible set of y values that can be outputs of the function

Answer 5

does that make sense?

Answer 6

So the domain is [-3,4]?

Answer 7

and the range is [-1,4]?

Answer 8

very nice

Answer 9

both are correct

Answer 10

okay, what about part c and d?

Answer 11

h(x) = 3 is the same as saying y = 3

draw a horizontal line through y = 3. Where does it cross the red curve?

Answer 12

2

Answer 13

I see two points. What are those points?

Answer 14

oh, -3 also

Answer 15

so would I just write -3 and 2? Or is there a special notation?

Answer 16

well they just want x values, so that works

Answer 17

actually there's one point I missed

Answer 18

4?

Answer 19

yeah so if the input is x = -3, x = 2, or x = 4, then the output is 3

Answer 20

okay, and for part d is it -3, -2, 0, 2, 4?

Answer 21

you'll need to use inequalities here

Answer 22

um okay, so -3<=x<=2 and x=4?

Answer 23

much better

Answer 24

Thank you so much @jim_thompson5910 ! You've been helping me with math for years and I'm in college now and my Professor speaks very broken English :(

Answer 25

I'm glad to be of help, and I'm sorry you and your teacher have a communication gap