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Evaluate f(x) when x=-10

(2x - 4 if -3 f(x) =
\x2 +3 if 10 < x <13
-24
16
No solution
-7

1 Answer

4 votes

Final answer:

To evaluate the function f(x) when x=-10, the correct case of the piecewise function is used: f(-10) = 2(-10) - 4, which simplifies to -24.

Step-by-step explanation:

The student is asking for the value of a piecewise function f(x) when x=-10. The information provided regarding the definition of f(x) is incomplete; however, the only plausible choice for f(x) given that x equals -10 lies within the first case of the piecewise function. The first case of the piecewise function is represented as 2x - 4 for x less than or equal to -3.

To evaluate f(x) for x=-10, we substitute x with -10 into the first case of the function:

f(-10) = 2(-10) - 4

f(-10) = -20 - 4

f(-10) = -24

Therefore, the value of f(x) when x=-10 is -24.

User Cijothomas
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