use the function rule f(x) = x * [-1]^x Find the output (f)2
a 4
b 3
c -2******
d 2
I don't understand, please help
unless [ ] is defined as something special,
f(2) = 2*(-1)^2
= 2*(1)
= 2
thanks
To find the output of the function f(x), we need to substitute x with (f)2 in the function rule f(x) = x * [-1]^x.
Since we are given (f)2, we can substitute x with 2 in the function:
f(2) = 2 * (-1)^2
Now, we can simplify the expression:
f(2) = 2 * 1
f(2) = 2
Therefore, the output (f)2 is 2. The correct option is d) 2.
To find the output value of f(x) using the function rule f(x) = x * (-1)^x, you need to substitute the given value of x into the function. In this case, we are given the input value of x as 2.
Let's substitute x = 2 into the function f(x) = x * (-1)^x:
f(2) = 2 * (-1)^2
Now, simplify the expression inside the parentheses:
(-1)^2 = 1
So the expression becomes:
f(2) = 2 * 1
Finally, multiply 2 and 1 to find the output value:
f(2) = 2
Therefore, the output value of f(2) is 2.
Among the given options, the correct answer is d) 2.