Question

math problem

Answer 1

@AZ

Answer 2

Do you know how to find the domain and range for quadratic functions?

What are all the possibly x-values that x could be?
What about the y-values? Is there something that y cannot ever go past

Answer 3

i dont

Answer 4

im not sue

Answer 5

@snowflake0531

Answer 6

so take a look at this similar example

Answer 7

y < 3?

Answer 8

So for a quadratic function `the domain is all real numbers. if the parabola is opening upwards, i.e. a > 0 , the range is y ≥ k ; if the parabola is opening downwards, i.e. a < 0 , the range is y ≤ k .`

https://www.khanacademy.org/math/algebra-home/alg-functions/alg-determining-the-range-of-a-function/v/domain-and-range-of-a-function-given-a-formula#:~:text=For%20every%20polynomial%20function%20(such,domain%20is%20all%20real%20numbers.&text=if%20the%20parabola%20is%20opening,range%20is%20y%20%E2%89%A4%20k%20.

Answer 9

\(\color{#0cbb34}{\text{Originally Posted by}}\) @iuytyuioiuytyuiop
y < 3?
\(\color{#0cbb34}{\text{End of Quote}}\)

are you sure it's \( <\) or would it be \(\le\)

Answer 10

i cant type it on my keyboard

Answer 11

look at that image I shared and even that quote
` if the parabola is opening downwards, i.e. a < 0 , the range is y ≤ k`

Answer 12

\(\color{#0cbb34}{\text{Originally Posted by}}\) @iuytyuioiuytyuiop
i cant type it on my keyboard
\(\color{#0cbb34}{\text{End of Quote}}\)

ah okay, as long as you write it in your answer box over there!

Answer 13

so do you know how we would write that in interval notation?

Answer 14

im not sure

Answer 15

its alright i figured it out

Answer 16

ah okay but just in case

basically for domain, it would be
\( (-\infty, \infty)\)

and for range, it would be
\( (-\infty, 3]\)

Answer 17

alright