The piece wise function is written that if X is ≤1 use the top equation and if x is > 1 use the bottom equation.
f(0) means that X is = 0, so you would use the top equation:
x^2
Replace x with 0 to get 0^2 which is 0 x 0 = 0
F(0) = 0
Answer:
<u>IN DECIMAL FORM AND AS A IMPROPER FRACTION </u>
Step-by-step explanation:
<u>DECIMAL FORM: 0.125</u>
<u>IMPROPER FRACTION: 25/8 </u>
HOPE THIS HELPS!!
The equation is
Some observations:
- is defined only as long as , or
- wherever is defined, its value must be non-negative, so that is never positive
- by the definition of absolute value, we have if , and if . Then
If , the equation becomes
Taking the square of both sides gives
but since the discriminant is , there are no real solutions.
If , then
Taking squares gives
and solving by the quadratic formula gives two potential solutions,
which have approximate values of 8.49 and 26.51.
We know for any value of that . We have and , so only the first solution 8.49 is valid.
Answer:
Step-by-step explanation: