Question

How do you find the domain and range of `f(x)=x^2 - 6x - 10`?

Answer 1

Domain: `{x in RR}`
Range: `{f(x) in RR | f(x) >= -19}`

Explanation:

`f(x) = x^2 - 6x - 10`

Domain: `{x in RR}`

Completing the squares:
`f(x) = (x^2 - 6x + 9 - 9 - 10)`
`= (x - 3)^2 - 19`

Minimum value of `f(x)` is -19. Therefore range:
`f(x) >= -19`

graph{x^2-6x -10 [-5, 10, -25, 10]}