Answer
(a) The domain is $-5\leq x\leq5$
The range is $-3\leq x\leq 3$
(b) The x-intercepts are (-2,0) and (2,0). The y-intercept is (0,2)
(c) $f(1)=3$
(d) for -5 and 3
(e) $f(x) < 0 \text{ for } [-5,-2)\cap(2,5]$
Work Step by Step
(a) The domain is the horizontal span from the function's smallest value of x to the function's largest value of x. The range is the vertical span from the function's smallest value of f(x) to the function's largest value of f(x).
(b) The x-intercepts are all points of a function where f(x)=0 while the y-intercepts are all points of a function where x=0.
(c) We can find f(1) by looking at the point that has an x value of 1 in the function.
(d) We can find f(x)=-3 by looking at the points that have a y value of -3 in the function.
(e) We look for the domains where f(x)<0
