SOLUTION: Hi I'm having trouble with this piecewise function. Can you help me? Evaluate the piecewise defined function at the indicated values. f(x)={(-5 if x<=3, x + 3 if x>3) f(-4) =

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Question 126063: Hi I'm having trouble with this piecewise function. Can you help me?
Evaluate the piecewise defined function at the indicated values.
f(x)={(-5 if x<=3, x + 3 if x>3)
f(-4) =
f(0) =
f(3) =
f(4) =
f(6) =
Answer by marcsam823(57) (Show Source):
You can put this solution on YOUR website!
The first rule of this function states that if the value of the function or f(x) = 5. We see three x values that meet the criteria of being less than or equal to 3: -4,0 & 3. This means that a, b and c below are all equal to 5.
The other rule states that if x>3 then f(x) = x + 3. We see that two of the x values below are greater than 3: 4 & 6. This means that d & e below are equal to 4 + 3 = 7 and 6 + 3 = 9, respectively.
Summary:
f(x)={(-5 if x<=3, x + 3 if x>3)
a. f(-4) = 5
b. f(0) = 5
c. f(3) = 5
d. f(4) = 7
e. f(6) = 9