SOLUTION: Find the x-intercepts(if they exits) of the following quadratic functions. Graph the function and mark the intercepts. f(x)=x^2-6. I am completely confused on how to solve this pr

Algebra ->  Functions -> SOLUTION: Find the x-intercepts(if they exits) of the following quadratic functions. Graph the function and mark the intercepts. f(x)=x^2-6. I am completely confused on how to solve this pr      Log On


   

Question 160018: Find the x-intercepts(if they exits) of the following quadratic functions. Graph the function and mark the intercepts.
f(x)=x^2-6. I am completely confused on how to solve this problem and several others taht are similar. Please if you could show me step by step I'm sure I will be able to figure out the others.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the x-intercepts(if they exits) of the following quadratic functions. Graph the function and mark the intercepts.
f(x) = x^2 - 6
:
Understand that in the graphing world y = f(x), so we have:
y = x^2 - 6
:
Understand that the x intercept occurs when y = 0, substitute 0 for y:
Solve:
x^2 - 6 = 0
x^2 = +6; added 6 to both sides
x = +sqrt%286%29
and
x = -sqrt%286%29
:
These are x intercepts, approx +2.4494897 and -2.4494897
:
A graph of this would look like this
:
+graph%28+300%2C+200%2C+-6%2C+5%2C+-6%2C+6%2C+x%5E2-6%29+
:
You can see the x intercepts corresponds to the values we found
:
Did this make sense to you now?