Hello Angela, after that we will be able to proceed to payment during checkout, and the other aspect is
An even function can be reflected over the y-axis and still remain unchanged.
Example: y=x^2
On the other hand, an odd function can be reflected around the origin and also remains unchanged.
Example: y=x^3
A straightforward method to determine this is:
if f(x) is even, then f(-x)=f(x)
if f(x) is odd, then f(-x)=-f(x)
Hence, for an even function
substitute -x in for each and check for equivalence
make sure to fully expand the expressions
g(x)=(x-1)^2+1=x^2-2x+1+1=x^2-2x+2 is the original expression
g(x)=(x-1)^2+1
g(-x)=(-x-1)^2+1
g(-x)=(1)(x+1)^2+1
g(-x)=x^2+2x+1+1
g(-x)=x^2+2x+2
Not the same, as the original contains -2x
Therefore, it is not even
g(x)=2x^2+1
g(-x)=2(-x)^2+1
g(-x)=2x^2+1
It matches, hence it is even
g(x)=4x+2
g(-x)=4(-x)+2
g(-x)=-4x+2
Not equivalent, thus not even
g(x)=2x
g(-x)=2(-x)
g(-x)=-2x
Not equal, therefore not even
g(x)=2x²+1 is the confirmed even function.
Response:
(A)
A symmetrical outcome occurs when both figures are identical.
The half section of the illustration is tilted downward; therefore, to achieve symmetry, we must shift the figure upwards.
Then, we reflect upon the inverted image.
Thus, we achieve reflectional and translational symmetry.
11,000 multiplied by 16% equals $1,750, which when multiplied by 4 gives a total of $7,040.
Therefore, after 4 years, the car's value is $11,000 - 7,040 = $3,960.
