1a.)Is y=x^4 a single- or multi-valued function?
b.)Is y=f(x)=x^2+4x an even, odd, or neither
c.)What is the inversefunction of y=x^4
d.)What is the inversefunction of (b.),y=x^2+4x?
e.)Is the inversefunction from (d.), odd, even, or
F(x) = 2x^2 - 8x, where x = or > 2
Even though I know that this particular quadratic equation does have an inverse since the domain is limited, I don't know how to figure out the formula for the inverse for a quadratic equation. I don't know how to solve for x, since there are two different x's.
Which functions are one-to-one? Which functions are onto? Describe the inverse function
A)F:Z^2-N where f is f(x,y) x^2 +2y^2
B)F:N->N where f is f(x) = x/2 (x even) x+1 (x odd)
C)F:N->N where f is f(x) = x+1 (x even) x-1 (x odd)
D)h:N^3 -> N where h(x,y,z) = x + y -z
I've attached a problem set which contains the following questions related to inversefunctions. Can you help explain the concepts to me?
Given point P of the function f(x), state the corresponding point P' in the inverse of the function.
Determine if the inverse of each relation graphed below is a function.
Find the inver
Inverse, Direct Demand Function, & Point Price Elasticity
Copy and paste the following data into Excel:
a) Run OLS to determine the inverse demand function (P = f(Q)); how much confidence do you have in this estimated equation? Use algebra to then find the direct demand function (Q = f(P)).
b) What is the point price elasti
Multiply: [■(1&2@3&0)][■(1@-1)] =
Multiply: [■(-1&2@3&1)][■(2&4@3&1)] =
Matrix A shows number of stocks holding by William and Michael:
Matrix B shows price in dollars per share:
Find inverse to the given matrix
(see instructions on Blackboard in Course