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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

  • math -

    GRAPH IT !!!

  • math -

    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

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