A function ƒ is defined as ƒ(x)= x^3. The function is then reflected along the line y=3 and the resulting function is named g. What is the value of g(4)?
As the function was reflected along a straight line parallel to the x axis, any value g(x) will be -f(x) plus 6 as the reflection doubles the vertical shift.. Therefore in this case, f(4) is 64, therefore -64+6 gives us g(4)= -58
What is a contra asset?
A contra asset is an asset account that shows a credit balance instead of a debit balance that is usually shown by asset accounts. It is used to write off losses as in the case of the Accumulated Depreciation account which is used to record the amount of fixed assets that have been depreciated. It can also be used to set up provisions for losses as in the case of the Allowance for Doubtful Accounts account which is used to display the amount of accounts receivables after accounting for bad debts.
What is the reason for a downward sloping Indifference Curve?
The downward slope on an indifference curve is caused by the diminishing marginal rate of substitution (MRS) of one good for the other. As the MRS is also the slope of the curve, a decreasing slope along the curve makes it slope at a downward angle. The MRS decreases along the curve because of the Law of Diminishing Marginal Utility.