Stating domain of y = x/x-8, finding x-, y-intercepts of f(x

[charlesjoy]

1) State the domain of the given function

y = x/x-8

2) Find the x- and y-interepts. If no x-intercepts exist, state so.

f(x)= 15x^2 - 20x - 9 (that is 15x squared)

 

[fasteddie65]

Re: Stating domain

1) State the domain of the given function

y = x/x-8

2) Find the x- and y-interepts. If no x-intercepts exist, state so.

f(x)= 15x^2 - 20x - 9 (that is 15x squared)

For the first problem, the domain is {x: x ? 8}.

For the second problem, find the x-intercept by setting f(x) = 0. 15x^2 - 20x - 9 = 0. This might involve a little factoring. If it doesn't factor, use the Quadratic Formula.

To find the y-intercept, set x = 0, and -9 is the y-intercept.

 

[stapel]

1) State the domain of the given function

The "domain" is all allowable x-values. So find the vertical asymptotes (explained in another of your threads), and then the domain will be everything else. :wink:

y = x/x-8

To learn how to format clearly, please read either of the "formatting" articles in the links you saw in the "Read Before Posting" thread you read. Thank you!

2) Find the x- and y-interepts.

To find the y-intercept, set x equal to zero, and solve.

To find the x-intercept(s), set y equal to zero, and solve.