1.
no, there will never be a negative y-value. <span>y= |x| will always be nonnegative. |x| can be distance x is from 0 and a distance can never be negative.
</span>2.
you can define it as
y = |x| = x if x ≥ 0, -x if x < 0
absolute value can be
interpreted as a function that does not allow negative real numbers,
forcing them to be positive (leaving 0 alone). if the input x is more
than or equal 0, then x stays positive so there is no need to do
anything: "x if x ≥ 0".
if the input is less than 0, then it is an
negative number and needs a negative coefficient to negate the negative:
"-x if x < 0"
example: if x = -3, then it will take the "-x if x < 0" piece resulting in y = -(-3) = 3, which is what |-3| does
if x = 1, it will take the "x if x ≥ 0" piece and just have y = 1 which is what |1| does.
for x = 0, it will take the "x if x ≥ 0" and just have y = 0 which is what |0| does
Answer:
$10.5
Step-by-step explanation:
Given data
P=$150
T= 1year
R= 7%
The simple interest formula will give the accurate amount at the end of each year
A=P(1+rt)
A=150(1+0.07*1)
A=150*1.07
A=$160.5
The withdrawal = 160.5-150= $10.5
Hence the withdrawal will be $10.5
Here the answer. -3x^4 +19x^3-38x^2+25x-3
4 - 8 = -4.
Note that 8 (in the equation) comes after 4 (also in the equation) so, that makes the answer negative. If you wrote the equation like this:
8 - 4 = 4. Then it would equal 4, not negative 4 as given.
So,
a = 8