Question

I dont understand domain and range.

y = –3(x – 10)2 + 5

Answer 1

y = –3(x – 10)^2 + 5

Answer 2

the domain is the x values that can be used...or are there any x values that makes the relationship undefined.

e.g. y = 1/x in this case x cannot = 0 as 1/0 doesn't exist.

or \[y = \sqrt{9 - x}\] x has to be greater less than or equal to 9... values higher than 9 will result in having to take a negative square root.

the range is the y values generated by the x values.

in your question the domain is all real x...... or you can put any real number into the relationship..

the range is\[y \le\] the largest output value is y = 5 when x = 0... for all other values of x

the result will be less than 5 .

(x - 10)^2 will always give positive values

-3(x-10)^2 will result in negative values

Answer 3

Thank You!