Question

What is the range of the following function?

Answer 1

any options ? if not find its domain

Answer 2

no options

Answer 3

no need to find domain, look at the pic. its the y values

Answer 4

the range is all the y values being used to make that graph, which y values are these?

Answer 5

Range is the Yvalues of the zero maybe. @zzr0ck3r might know better

Answer 6

its all the y values.

imagine y = x^2 graph. it maps to all the y values from 0 to infinity.

Answer 7

y=x^2 + 1 maps to all the y values from 1 to infinity.

y = 2x+7 maps to all the y values from -infinity to infinity

y = 3 maps to 3 only.

so what is the range of this graph?

Answer 8

@coolaidd ?

Answer 9

so what would be the official answer? "all y values"?

Answer 10

yes

Answer 11

no

Answer 12

does that graph ever hit y = 7?

Answer 13

no..?

Answer 14

what is the greatest y value it hits?

Answer 15

1?

Answer 16

yes, and then it goes down to -infinity right?

Answer 17

yes

Answer 18

so what is the range?

Answer 19

1?

Answer 20

its all the y values it goes through, you just said it goes from 1 down to -infinity.

so?

Answer 21

1/infinite?

Answer 22

negative infinity, it does not go up. it goes down

Answer 23

so the range is R = (-infinity, 1]

note the ], this is because it goes through 1 but we leave ( on the left, because it never actually hits -infinity