Function trouble with y = 2x2 – 6.?

Question

Sketch the graph of the function y = 2x2 – 6.

What are the domain and range of the function?

What are the x-intercepts?


a. domain = [0, ∞); range = [–6, ∞);
x-intercepts: points (+or- sqrt(3),0)

b. domain = (–∞, ∞); range = [–6, ∞);
x-intercepts: none

c. domain = (–∞, ∞); range = [–6, ∞);
x-intercepts: points (+or- sqrt(3),0)

d. domain = [–12, ∞); range = (–∞, ∞);
x-intercepts: points (+or- sqrt(3),0)

y = 2x^2 – 6

Answer 1

put 2*x*x-6 in this thing http://people.hofstra.edu/staff/steven_r_costenoble/Graf/Graf.html

that should help you picture it

x intercept means y=0 (the x line)
so y=2*X^2-6 becomes
0=2X^2-6 and solve for x
6+ 0=2X^2-6 +6
6=2*x^2
6 /2 = 2*x^2 /2
3=x^2 so, something times itself equals 3

suare root (3) = suare root (x^2) =x

x= suare root (3)

PS: I think it's a pretty efficient way to get your homework done. I give you an A for inovation!!!

Answer 2

y = 2x^2 - 6
y = 2(x^2 - 3)

ANS : c.)

Answer 3

look again at your configurations and you will see the answer.

Answer 4

do your own homework

Answer 5

dude we not at school

Answer 6

c.

Answer 7

c.