Let f(x) = {√x, 0 ≤ x ≤ 1
{ 1/x, x > 1
(a). Identify any intercepts
(b). Graph the function
(c). Find the domain and range
I'll be able to graph it, I just can't do a or c
Intercepts imply intercepting with the x-axis or y-axis.
The function would intercept the y-axis at x = 0 which is for the first piece.
$\displaystyle \sqrt{0} = 0$
It's y-intercept is at x = 0.
It's x-intercept is whenever y = 0. Notice that the x-intercept is the same as the y-intercept.
The domain is all real numbers that can go into the function. The square root cannot take any negative values and the $\displaystyle \frac{1}{x}$ cannot take zero, but it's not even a valid piece of the function in that region, so the domain is simply all non-negative reals. The range is just the same.