The equation of the piecewise defined function f of x is shown. What is the value of f of 1 ? f of x equals enlarged left-brace first row x squared plus 1 comma negative 4 less than or equal to x less than 1. Second row negative x squared comma 1 less than or equal to x less than 2. Third row 3 x comma x greater than or equal to 2.
Answer
A
f of 1 is equal to negative 2
B
f of 1 is equal to 3
C
f of 1 is equal to 2
D
f of 1 is equal to negative 1
Explanation
Since 1 is included in the interval 1 ≤ x < 2, use the rule f(x) = −x². Substituting x = 1 gives f(1) = −(1)² = −1, so the correct choice is “f(1) is equal to negative 1.”
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