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.
Answer:
24 books.
Step-by-step explanation:
The number of books that that can be fitted into the shelf is equal to the width of the self divided by the width of each book:
The height is 5 m. The area of a trapezoid is (b1+b2/2)h
Answer:
1 Answer->3
Step-by-step explanation:
To factor this out find the factors of 9 which add up to 6.
3 and 3 work therefore factor it out to
(x+3)(x+3)=0
Using Zero product property x is equal to -3
And there is only one answer which is 3
Answer:
n < 9
Step-by-step explanation:
Solving an inequality is just like solving an equation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign to ensure that the expression remains true.
