Answer:
The horizontal asymptote for the function f(x) is 1/2
Step-by-step explanation:
<u>We were given the function</u>
which could be <u>simplified</u> as
this means that the function is a constant of value 1/2 for all value of x.
Then, in particular, <u>the value of f will be 1/2 for x when x tends to infinite and minus infinite</u>.
And because to find the horizontal asymptote of a function we have to calculate the limit of the function when x tends to infinite or minus infinite, we can ensure that <em>this asymptote has also the value 1/2 of f</em>.
The value is 40,000. read as forty thousand.
Ou this is complicated I think -5/6
Given that:
y < x² + 2
y > x² - 6
Using the graphing technology:
The vertex of first equation will be: (0,2)
As, y is less than the quadratic equation, the outer portion of the parabola will be shaded and the parabola's boundary will be dotted line.
Similarly,
the second equation will vertex, (0,-6), will be a dotted parabola and the inner part of the parabola will be shaded.
Solution to the set of equations will be the common shaded region as shown in the graph attached. There is no common point which intersects both the equations.
