Mathematics
Grade10
Easy
Question
Express the function as a piecewise-defined function.
f(x) = -IxI
- f(x) : {(-x , x ≥ 0) , (x , x < 0)}
- f(x) : {(x , x ≥ 0) , (-x , x < 0)}
- f(x) : {(-
, x ≥ 0) , ( , x < 0)} - f(x) : {( , x ≥ 0) , (- , x < 0)}
, x ≥ 0) , ( , x < 0)} , x ≥ 0) , (- , x < 0)}
Hint:
A piecewise-defined function is one that is defined not by a single equation, but by two or more. Each equation is valid for some interval.
We simply check the values of f(x) for different values of x and find out the corresponding piecewise-defined function f using function notation.
The correct answer is: f(x) : {(-x , x ≥ 0) , (x , x < 0)}
Step 1 of 1:
For x = -2, f(x) = -2
For x = -1, f(x) = -1
For x = 0, f(x) = 0
For x = 1, f(x) = -1
For x = 2, f(x) = -2
Hence, we have f(x): {(-x, x≥0), (x, x<0)}
Final Answer:
The right choice is- c. f(x) : {(-x , x ≥ 0) , (x , x < 0)}
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