Question

WILL GIVE MEDAL!!

What are the domain and range of the square root function graphed below?

A- Domain: x is all real numbers, range: y ≥ 3
B- Domain: x ≥ 3, range: y ≥ 4
C- Domain: x is all real numbers, range: y ≥ 4
D- Domain: x ≥ 4, range: y ≥ 3


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Answer 1

So at @lulubj domain means all the x values for which the function is defined. or in other words, it's just like what group of x values for the function give me a y value.

Answer 2

Like if i get the problem, i would do it because i know how to solve it but i dont know how to get it from the graph im really bad at math

Answer 3

if you notice something, the graph starts at x = 3 right?

Answer 4

yes

Answer 5

is the function defined at x = 2 ?

Answer 6

i dont think

Answer 7

so there isn't any value there so it's not defined.

Answer 8

what about range what's the lowest value for the range: HINT it's the lowest y value

Answer 9

0?

Answer 10

if you notice, the graph starts at x = 3, y = 4

Answer 11

and then the x and y values keep increasing. so how would we re-write this>?

Answer 12

would it be \[y=-2\sqrt{x+3} ? :(\]

Answer 13

So yeah, we would represent it like this. because our lowest value for x is 3 and our lowest is y. also we know that x and y are also defined for any numbers greater than x = 3 and y = 4\[x \ge 3; y \ge 4 \]

Answer 14

Thank you so much!