-2*-1/4=1/2
1/2*-1/4=-1/8
-1/8*-1/4=1/32
restrict the domains of quadratic functions and absolute value functions, because these functions are
functions. For instance, the quadratic function f(x) = x^2 pairs both −2 and 2 with 4, and the absolute value function f(x) = |x| pairs both −2 and 2 with 2.
Linear functions (excluding constant functions) and exponential functions are
functions, so their domains
to be restricted.
_________________
An absolute value function, without domain restriction, has an inverse that is NOT a function.
In order to guarantee that the inverse must also be a function, we need to restrict the domain of the absolute value function to make it a one-to-one function.
Answer:
3/4 and 1/2
Step-by-step explanation:
(4x-3)(2x-1) ≥ 0
If the product of 2 numbers is zero, the one of the numbers must be equal to zero.
(4x-3)(2x-1) ≥ 0
(4x-3) ≥ 0 or (2x-1) ≥ 0
4x ≥ 0+3 2x ≥ 0+1
4x ≥ 3 2x ≥ 1
x ≥ 3/4 x ≥ 1/2
