Consider the equation y = x^2. No matter what x happens to be, the result y will never be negative even if x is negative. Example: x = -3 leads to y = x^2 = (-3)^2 = 9 which is positive.

Since y is never negative, this means the inverse x = sqrt(y) has the right hand side never be negative. The entire curve of sqrt(x) is above the x axis except for the x intercept of course. Put another way, we cannot plug in a negative input into the square root function for this reason. This similar idea applies to any even index such as fourth roots or sixth roots.

Meanwhile, odd roots such as a cube root has its range extend from negative infinity to positive infinity. Why? Because y = x^3 can have a negative output. Going back to x = -3 we get y = x^3 = (-3)^3 = -27. So we can plug a negative value into the cube root to get some negative output. We can get any output we want, negative or positive. So the range of any radical with an odd index is effectively the set of all real numbers. Visually this produces graphs that have parts on both sides of the x axis.

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3 years ago

Billy anderson is choosing between two fitness centers. Center A charges $495 per year for unlimited use of all facilities. Cent

GREYUIT [131]

Let's compare the cost of both the centers.

Cost of Center A:

One time charge of $495 in one year.

Cost of Center B:

Flat $25 dollar sign up fee
$15 per month, so $15*12=180$ dollars a year
$5 per aerobic class, so $5*52=260$ dollars a year (given that Billy goes to class once a week) (Note: There are 52 weeks in a year)

Total cost = $25+180+260=465$ dollars

Hence, Center B would cost $495-465=30$ dollars cheaper.

ANSWER: Least expensive club for Billy to use for a year is Center B

5 0

3 years ago

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