Degrees in Polynomial and Rational Functions

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Which of the following represents the graph?

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What is the degree of the polynomial expression below? 7x⁴ + 6x² + 3x + 3

• 7

• 2

• 0

• 4

When finding the H.A., if the numerator degree is greater than the denominator degree, the answer is...

• y = 0

• none

• y =a / b

• x = 0

When finding the H.A., if the numerator degree is equal to the denominator degree, the answer is...

• y = 0

• none

• x = 0

Where is there a hole on the graph of the function?

• (2, 0)

• (-2, 4/7)

• There are no holes.

• (5, -7)

• TRUE

• FALSE

The horizontal asymptote of the graph  may be found by the following laws. Which of the following laws that the horizontal asymptote of a rational function will lead to “No Horizontal Asymptote”?

• If the degrees of the numerator (n) is less than the degrees of the denominator (m).

• If the degrees of the numerator (n) is equal to the degrees of the denominator (m).

• If the degrees of the numerator (n) is less than equal to the degrees of the denominator (m).

• If the degrees of the numerator (n) is greater to the degrees of the denominator (m).

If 𝑛 < 𝑚, then 𝑦 = 0is the horizontal asymptote of the rational function.

• TRUE

• FALSE

• 2

• 1

• -3

• 5