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$Mathematics Hub$

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Senior High School Math Hub

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Learning Materials
General Mathematics
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Lesson 9: Intercepts, Zeroes and Asymptotes of Rational Functions

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Intercepts, Zeroes and Asymptotes

2. Read the Module

3. Solve the LAS

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5. Take a Quiz

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Intercepts, Zeroes and Asymptotes of Rational Functions

1 / 7

What is the horizontal asymptote of 𝑓(𝑥) = (3𝑥 + 1) / (𝑥−5)?

a. y = 5

b. y = 3

c. y = 1

d. y = 0

2 / 7

What is the zero of 𝑓(𝑥)= (𝑥 + 5) / (3𝑥^2)?

a. x = 5

b. x = 0

c. x = - 3

d. x = - 5

3 / 7

If the degree of the leading coefficient of the numerator is less than to the
degree of the leading coefficient of the denominator of a rational
function, which of the following statements has to be true?

a. The graph has no asymptote

b. The graph of the function has slant asymptote

c. The graph of the function has a horizontal asymptote

d. None of the above

4 / 7

Which of the following is not a true statement?

a. Which of the following is not a true statement?

b. Asymptotes are a common characteristic of rational functions.

c. An asymptote is a line that a graph approaches but does not touch.

d. Domain and Range of rational functions are always equal

5 / 7

Which of the following are the points of intersection of the graph and the axes?

a. Range

b. Intercept

c. Domain

d. Zeroes

6 / 7

Complete the sentence: The x- intercept of rational function is also _________ of the graph of the function.

a. asymptote

b. range

c. zero

d. domain

7 / 7

Which of the following is the set of all values that 𝑓(𝑥) take?

a. Range

b. Intercept

c. Domain

d.Zeroes

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Intercepts, Zeroes and Asymptotes of Rational Functions

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LAS - Intercepts, Zeroes and Asymptotes of Rational Functions

9. General Mathematics Q1 - INTERCEPTS, ZEROES AND ASYMPTOTES OF RATIONAL FUNCTIONS

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