A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.
Let's look at your function.
is in the numerator. It is defined for every value of x. There is no problem there.
is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.
We set it equal to zero and solve the equation for x.
For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).
The answer is:
Answer:
[-6, -4, 2, 5, 8]
Step-by-step explanation:
take the first number in each pair and put them in numerical order (least to greatest)
Answer:
Step-by-step explanation:
We will be using 2 properties of radicals in this simplification (outlined below).
<em>Let's simplify this:</em>
First answer choice is right.
Answer:
There are three pieces per bundle.