Question

Let y = f(x) be a function with domain D = [−2, 6] and range R = [−4, 8]. Find the domain D and range R for each function. Assume f(2) = 8 and f(6) = −4. (Enter your answers using interval notation.)

Answer 1

a)
y = −2f(x)

domain D =
range R =

(b)
y = f

1
2
x


domain D =
range R =

(c)
y = f(x − 3) + 1

domain D =
range R =

(d)
y = f(x + 2) − 3

domain D =
range R =

(e)
y = f(−x)

domain D =
range R =

(f)
y = −f(x)

domain D =
range R =

(g)
y = |f(x)|

domain D =
range R =