Question

How would you find the domain and range of g(x)=x^2-6x+4

Answer 1

domain is the set of values of x for which this function has sence.
range is a set of values of g(x) for values of x of the domain

Answer 2

so how would u find out tho like what formula would you use

Answer 3

there is no formula for this

Answer 4

this function has sence for all values of x, so domain is all R

Answer 5

you really look at the formula given and see if you can make the denominator zero for instance. If you can then this point does not make sense.

Answer 6

that doesn't apply in this case but is an example of where a domain is incorrect

Answer 7

i still very confused

Answer 8

look at the tan function does it have a domain for all values of theta?

Answer 9

so, domain is all R.
To find the range, notice that this is a parabola opened up. So find the vertex to get the minimum value. Range will be (min value, infinity)

Answer 10

you can see tan x goes vertical every now and then so the domain of tanx is undefined at pi/2 for instance do you see

Answer 11

it has no value over all real numbers

Answer 12

to find vertex use this formula for x-coordinate:
-b/2a
which in this cace gives x=3
so g(3)=-5
so domain: R
range: (-5,infinity)

Answer 13

Another example y=4/x is undefined at x=0 because of division by zero so x=0 is not in the domain of this function?

Answer 14

Algebraically speaking, how would one find the range and domain of said problem g(x)=x^2-6x+4

Answer 15

i just explained you that

Answer 16

this is, more or less the graph of this function