Learn how to find and classify the discontinuity of the function

The video tutorial explains how to identify discontinuities in equations by setting the denominator to zero. It covers factoring trinomials where the leading coefficient is not one, breaking them into binomials, and solving the equations. The tutorial also discusses how to identify discontinuities and asymptotes, emphasizing that holes can be divided out while asymptotes cannot.

What is the first step in identifying discontinuities in a function?

• Set the denominator to zero

• Add the numerator and denominator

• Set the numerator to zero

• Multiply the numerator and denominator

When factoring a trinomial where the leading coefficient is not 1, what is the goal?

• To break it down into two binomials

• To break it down into two quadrinomials

• To break it down into two monomials

• To break it down into two trinomials

Which pair of numbers will multiply to give -2 and add to give 3?

• -2 and 1

• -1 and 2

• 2 and -1

• 1 and -2

What is the factored form of the equation given in the video?

• F(x) = 5 over (2x + 1)(x - 2)

• F(x) = 5 over (2x - 1)(x + 2)

• F(x) = 5 over (x - 1)(2x + 2)

• F(x) = 5 over (x + 1)(2x - 2)

What distinguishes asymptotes from holes in a function?

• Neither can be divided out

• Asymptotes can be divided out, holes cannot

• Holes can be divided out, asymptotes cannot

• Both can be divided out