F(x)= (x^2 + 2)/ (x + 4)
a) What is the domain of f?
b)List the x-intercepts, if any, of the graph of f.
c)List the y-intercept, if there is one, of the graph of f.
Thank you!
(a) What x values can the function not have? Hint: Denominator = 0?
(b)To find the x-intercept, notice that the y-coordinate will be equal to 0. So set f(x) = 0 and solve for x, i.e.:
$\displaystyle 0 = \frac{x^{2} + 2}{x+4}$ (Can you even solve this? If not, what does that mean?)
(c) To find the y-intercept, notice that the x-coordinate will be equal to 0. So replace each x with a 0 and solve for f(0).