Question

For this piecewise defined function ( f(x) = 2+x, if x ≤ -4 ), find ( f(-10) + f(-4) + f(-1) + f(0) ).

a) -8
b) -6
c) 4
d) 8

Answer 1

To find the value of the piecewise function at specific points, substitute the given x-values into the respective pieces of the function.

Step-by-step explanation:

To find the value of the piecewise function at specific points, we substitute the given x-values into the respective pieces of the function.

For f(-10), since -10 is less than or equal to -4, we use the first piece of the function, which is f(x) = 2+x.

Substituting -10 for x, we get f(-10) = 2+(-10)

= -8.

Similarly, we substitute -4, -1, and 0 into the first piece of the function and get f(-4) = -2, f(-1) = 1, and f(0) = 2.

Finally, summing up these values, we have -8 + -2 + 1 + 2 = -7.

Therefore, the answer is -7.