Understanding Undefined Functions

The video tutorial explains how to determine when a function is undefined, focusing on cases where the denominator equals zero. It covers factoring quadratic expressions using the grouping method and substitution. The tutorial provides step-by-step instructions for solving equations to find values that make the function undefined, emphasizing the importance of understanding factoring techniques.

What condition makes a function undefined?

• When the numerator is zero

• When the denominator is zero

• When both numerator and denominator are zero

• When the function is linear

What is the first step in factoring the expression 2x^2 + x - 15?

• Subtract the constant term

• Divide by the leading coefficient

• Multiply the leading coefficient by the constant term

• Add the coefficients

Which pair of numbers multiply to -30 and add to 1?

• -5 and 6

• 3 and -10

• 2 and -15

• 5 and 6

What is the result of factoring 2x^2 + x - 15?

• (x - 5)(2x + 3)

• (x + 5)(2x - 3)

• (x - 3)(2x + 5)

• (x + 3)(2x - 5)

What value of x makes the function undefined in the expression (x + 3)(2x - 5)?

• x = 3

• x = -3

• x = 5/2

• x = -5/2

In the new problem, what expression is set to zero to find when the function is undefined?

• y + 3

• y - 3

• y - 3 squared plus 5y minus 3 minus 14

• y squared minus 5y plus 14

What substitution is made to simplify the expression y - 3 squared plus 5y - 3 - 14?

• y - 3 = a

• y = a + 3

• y + 3 = a

• y = a - 3

Which pair of numbers multiply to -14 and add to 5?

• 7 and -2

• -7 and 2

• 9 and -5

• 5 and -9

What are the values of a that make the function undefined after substitution?

• a = 5 and a = -9

• a = -7 and a = 2

• a = 9 and a = -5

• a = 7 and a = -2

What value of y makes the function undefined after solving the substitution?

• y = 4

• y = 5

• y = -4

• y = -5