Practice Y-intercept (6.2) - Rational Functions - IB 10 Mathematics – Group 5, Algebra
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y-intercept

Practice - y-intercept

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Find the y-intercept of \( f(x) = \frac{x + 1}{x - 1} \).

💡 Hint: Substitute x = 0 and simplify.

Question 2 Easy

Determine the y-intercept for \( f(x) = \frac{x^2 + 2}{x} \).

💡 Hint: Remember to set x = 0 and check your function.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

How do you find the y-intercept of a function?

💡 Hint: Think about which value we set to find the crossing point.

Question 2

True or False: The y-intercept is where a function meets the x-axis.

True
False

💡 Hint: Remember the axes' definition!

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Determine the y-intercept of the rational function \( f(x) = \frac{3x^2 - 2x + 1}{2x + 1} \) and discuss any restrictions.

💡 Hint: Evaluate f(0) and check the denominator.

Challenge 2 Hard

For the function \( f(x) = \frac{x^2 - 1}{x - 1} \), find the y-intercept and determine the significance of its undefined points.

💡 Hint: Evaluate f(0) and consider simplifying.

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