math
posted by kelli on .
The function f(x)is defined as
f(x)={2x+3: if 2 less than or equal to < 1
f(x)={5: if 1 less than or equal to x less than or equal to 2
f(x)={x^2+2: if x > 2
a. find f(0), f(2) and f(5)
b. determine the domain of f(x)
Please show work

GRAPH IT !!!

when x is </= 1 it is a straight line sloping down from (0,3) to (1,1)
so
f(0) = 3
f is constant 5 from 1 to 2 but leaps up to 6 at x = 2 and then is a parabola headed up
t exactly x = 2, f(2) = 5 but then jumps up
at x = 5, f(5) = 5^2+2 = 27
f is defined for all real x